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Finding the Fourth Proportional to 487,961.20, 731,941.80 and 410,978.80

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Solution

The fourth proportional to 487,961.20, 731,941.80 and 410,978.80 is: 616,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,961.20 : 731,941.80 = 410,978.80 : x
  2. Step 2: Convert to fraction form
    487,961.20/731,941.80 = 410,978.80/x
  3. Step 3: Cross multiply
    487,961.20x = 731,941.80 × 410,978.80
  4. Step 4: Simplify right side
    487,961.20x = 300,812,562,633.84
  5. Step 5: Solve for x
    x = 300,812,562,633.84/487,961.20
  6. Step 6: Final answer
    x = 616,468.20

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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.