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Finding the Fourth Proportional to 457,658.91, 686,602.71 and 322,985.93

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Solution

The fourth proportional to 457,658.91, 686,602.71 and 322,985.93 is: 484,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,658.91 : 686,602.71 = 322,985.93 : x
  2. Step 2: Convert to fraction form
    457,658.91/686,602.71 = 322,985.93/x
  3. Step 3: Cross multiply
    457,658.91x = 686,602.71 × 322,985.93
  4. Step 4: Simplify right side
    457,658.91x = 221,763,015,940.78
  5. Step 5: Solve for x
    x = 221,763,015,940.78/457,658.91
  6. Step 6: Final answer
    x = 484,559.59

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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.