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Finding the Fourth Proportional to 457,834.02, 686,610.54 and 316,586.88

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Solution

The fourth proportional to 457,834.02, 686,610.54 and 316,586.88 is: 474,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,834.02 : 686,610.54 = 316,586.88 : x
  2. Step 2: Convert to fraction form
    457,834.02/686,610.54 = 316,586.88/x
  3. Step 3: Cross multiply
    457,834.02x = 686,610.54 × 316,586.88
  4. Step 4: Simplify right side
    457,834.02x = 217,371,888,633.72
  5. Step 5: Solve for x
    x = 217,371,888,633.72/457,834.02
  6. Step 6: Final answer
    x = 474,783.17

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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.