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Finding the Fourth Proportional to 520,129.32, 717,769.98 and 290,689.80

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Solution

The fourth proportional to 520,129.32, 717,769.98 and 290,689.80 is: 401,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,129.32 : 717,769.98 = 290,689.80 : x
  2. Step 2: Convert to fraction form
    520,129.32/717,769.98 = 290,689.80/x
  3. Step 3: Cross multiply
    520,129.32x = 717,769.98 × 290,689.80
  4. Step 4: Simplify right side
    520,129.32x = 208,648,411,932.20
  5. Step 5: Solve for x
    x = 208,648,411,932.20/520,129.32
  6. Step 6: Final answer
    x = 401,147.18

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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.