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Finding the Fourth Proportional to 307,154.50, 460,731.75 and 85,538.50

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Solution

The fourth proportional to 307,154.50, 460,731.75 and 85,538.50 is: 128,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,154.50 : 460,731.75 = 85,538.50 : x
  2. Step 2: Convert to fraction form
    307,154.50/460,731.75 = 85,538.50/x
  3. Step 3: Cross multiply
    307,154.50x = 460,731.75 × 85,538.50
  4. Step 4: Simplify right side
    307,154.50x = 39,410,302,797.38
  5. Step 5: Solve for x
    x = 39,410,302,797.38/307,154.50
  6. Step 6: Final answer
    x = 128,307.75

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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.