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Finding the Fourth Proportional to 289,005.30, 403,820.10 and 289,005.30

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Solution

The fourth proportional to 289,005.30, 403,820.10 and 289,005.30 is: 403,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,005.30 : 403,820.10 = 289,005.30 : x
  2. Step 2: Convert to fraction form
    289,005.30/403,820.10 = 289,005.30/x
  3. Step 3: Cross multiply
    289,005.30x = 403,820.10 × 289,005.30
  4. Step 4: Simplify right side
    289,005.30x = 116,706,149,146.53
  5. Step 5: Solve for x
    x = 116,706,149,146.53/289,005.30
  6. Step 6: Final answer
    x = 403,820.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.