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Finding the Fourth Proportional to 513,871.29, 771,689.03 and 315,357.30

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Solution

The fourth proportional to 513,871.29, 771,689.03 and 315,357.30 is: 473,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,871.29 : 771,689.03 = 315,357.30 : x
  2. Step 2: Convert to fraction form
    513,871.29/771,689.03 = 315,357.30/x
  3. Step 3: Cross multiply
    513,871.29x = 771,689.03 × 315,357.30
  4. Step 4: Simplify right side
    513,871.29x = 243,357,767,363.63
  5. Step 5: Solve for x
    x = 243,357,767,363.63/513,871.29
  6. Step 6: Final answer
    x = 473,577.28

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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.