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Finding the Fourth Proportional to 285,177.76, 393,591.16 and 162,710.12

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Solution

The fourth proportional to 285,177.76, 393,591.16 and 162,710.12 is: 224,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,177.76 : 393,591.16 = 162,710.12 : x
  2. Step 2: Convert to fraction form
    285,177.76/393,591.16 = 162,710.12/x
  3. Step 3: Cross multiply
    285,177.76x = 393,591.16 × 162,710.12
  4. Step 4: Simplify right side
    285,177.76x = 64,041,264,874.54
  5. Step 5: Solve for x
    x = 64,041,264,874.54/285,177.76
  6. Step 6: Final answer
    x = 224,566.13

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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.