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Finding the Fourth Proportional to 412,061.10, 616,984.26 and 261,486.15

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Solution

The fourth proportional to 412,061.10, 616,984.26 and 261,486.15 is: 391,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,061.10 : 616,984.26 = 261,486.15 : x
  2. Step 2: Convert to fraction form
    412,061.10/616,984.26 = 261,486.15/x
  3. Step 3: Cross multiply
    412,061.10x = 616,984.26 × 261,486.15
  4. Step 4: Simplify right side
    412,061.10x = 161,332,838,302.15
  5. Step 5: Solve for x
    x = 161,332,838,302.15/412,061.10
  6. Step 6: Final answer
    x = 391,526.50

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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.