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Finding the Fourth Proportional to 307,538.30, 461,307.45 and 85,922.30

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Solution

The fourth proportional to 307,538.30, 461,307.45 and 85,922.30 is: 128,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,538.30 : 461,307.45 = 85,922.30 : x
  2. Step 2: Convert to fraction form
    307,538.30/461,307.45 = 85,922.30/x
  3. Step 3: Cross multiply
    307,538.30x = 461,307.45 × 85,922.30
  4. Step 4: Simplify right side
    307,538.30x = 39,636,597,111.14
  5. Step 5: Solve for x
    x = 39,636,597,111.14/307,538.30
  6. Step 6: Final answer
    x = 128,883.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.