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Finding the Fourth Proportional to 457,774.32, 686,521.18 and 316,527.27

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Solution

The fourth proportional to 457,774.32, 686,521.18 and 316,527.27 is: 474,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,774.32 : 686,521.18 = 316,527.27 : x
  2. Step 2: Convert to fraction form
    457,774.32/686,521.18 = 316,527.27/x
  3. Step 3: Cross multiply
    457,774.32x = 686,521.18 × 316,527.27
  4. Step 4: Simplify right side
    457,774.32x = 217,302,674,902.58
  5. Step 5: Solve for x
    x = 217,302,674,902.58/457,774.32
  6. Step 6: Final answer
    x = 474,693.89

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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.