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Finding the Fourth Proportional to 648,012.96, 971,159.22 and 344,343.15

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Solution

The fourth proportional to 648,012.96, 971,159.22 and 344,343.15 is: 516,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,012.96 : 971,159.22 = 344,343.15 : x
  2. Step 2: Convert to fraction form
    648,012.96/971,159.22 = 344,343.15/x
  3. Step 3: Cross multiply
    648,012.96x = 971,159.22 × 344,343.15
  4. Step 4: Simplify right side
    648,012.96x = 334,412,024,966.34
  5. Step 5: Solve for x
    x = 334,412,024,966.34/648,012.96
  6. Step 6: Final answer
    x = 516,057.62

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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.