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Finding the Fourth Proportional to 406,753.92, 560,987.64 and 286,293.96

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Solution

The fourth proportional to 406,753.92, 560,987.64 and 286,293.96 is: 394,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,753.92 : 560,987.64 = 286,293.96 : x
  2. Step 2: Convert to fraction form
    406,753.92/560,987.64 = 286,293.96/x
  3. Step 3: Cross multiply
    406,753.92x = 560,987.64 × 286,293.96
  4. Step 4: Simplify right side
    406,753.92x = 160,607,372,966.65
  5. Step 5: Solve for x
    x = 160,607,372,966.65/406,753.92
  6. Step 6: Final answer
    x = 394,851.44

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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.