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Finding the Fourth Proportional to 519,705.42, 717,882 and 418,113.60

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Solution

The fourth proportional to 519,705.42, 717,882 and 418,113.60 is: 577,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,705.42 : 717,882 = 418,113.60 : x
  2. Step 2: Convert to fraction form
    519,705.42/717,882 = 418,113.60/x
  3. Step 3: Cross multiply
    519,705.42x = 717,882 × 418,113.60
  4. Step 4: Simplify right side
    519,705.42x = 300,156,227,395.20
  5. Step 5: Solve for x
    x = 300,156,227,395.20/519,705.42
  6. Step 6: Final answer
    x = 577,550.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.