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Finding the Fourth Proportional to 457,776.32, 686,524.18 and 316,529.27

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Solution

The fourth proportional to 457,776.32, 686,524.18 and 316,529.27 is: 474,696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,776.32 : 686,524.18 = 316,529.27 : x
  2. Step 2: Convert to fraction form
    457,776.32/686,524.18 = 316,529.27/x
  3. Step 3: Cross multiply
    457,776.32x = 686,524.18 × 316,529.27
  4. Step 4: Simplify right side
    457,776.32x = 217,304,997,532.75
  5. Step 5: Solve for x
    x = 217,304,997,532.75/457,776.32
  6. Step 6: Final answer
    x = 474,696.89

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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.