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Finding the Fourth Proportional to 769,528, 1,062,065.28 and 467,663.68

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Solution

The fourth proportional to 769,528, 1,062,065.28 and 467,663.68 is: 645,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,528 : 1,062,065.28 = 467,663.68 : x
  2. Step 2: Convert to fraction form
    769,528/1,062,065.28 = 467,663.68/x
  3. Step 3: Cross multiply
    769,528x = 1,062,065.28 × 467,663.68
  4. Step 4: Simplify right side
    769,528x = 496,689,357,245.03
  5. Step 5: Solve for x
    x = 496,689,357,245.03/769,528
  6. Step 6: Final answer
    x = 645,446.76

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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.