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Finding the Fourth Proportional to 378,306.32, 522,099.54 and 282,646.94

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Solution

The fourth proportional to 378,306.32, 522,099.54 and 282,646.94 is: 390,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,306.32 : 522,099.54 = 282,646.94 : x
  2. Step 2: Convert to fraction form
    378,306.32/522,099.54 = 282,646.94/x
  3. Step 3: Cross multiply
    378,306.32x = 522,099.54 × 282,646.94
  4. Step 4: Simplify right side
    378,306.32x = 147,569,837,356.41
  5. Step 5: Solve for x
    x = 147,569,837,356.41/378,306.32
  6. Step 6: Final answer
    x = 390,080.29

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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.