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Finding the Fourth Proportional to 429,658.83, 643,877.27 and 316,448.78

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Solution

The fourth proportional to 429,658.83, 643,877.27 and 316,448.78 is: 474,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,658.83 : 643,877.27 = 316,448.78 : x
  2. Step 2: Convert to fraction form
    429,658.83/643,877.27 = 316,448.78/x
  3. Step 3: Cross multiply
    429,658.83x = 643,877.27 × 316,448.78
  4. Step 4: Simplify right side
    429,658.83x = 203,754,171,759.60
  5. Step 5: Solve for x
    x = 203,754,171,759.60/429,658.83
  6. Step 6: Final answer
    x = 474,223.17

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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.