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Finding the Fourth Proportional to 462,481, 693,721.68 and 130,057

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Solution

The fourth proportional to 462,481, 693,721.68 and 130,057 is: 195,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,481 : 693,721.68 = 130,057 : x
  2. Step 2: Convert to fraction form
    462,481/693,721.68 = 130,057/x
  3. Step 3: Cross multiply
    462,481x = 693,721.68 × 130,057
  4. Step 4: Simplify right side
    462,481x = 90,223,360,535.76
  5. Step 5: Solve for x
    x = 90,223,360,535.76/462,481
  6. Step 6: Final answer
    x = 195,085.55

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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.