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Finding the Fourth Proportional to 389,851.24, 584,776.47 and 146,737.71

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Solution

The fourth proportional to 389,851.24, 584,776.47 and 146,737.71 is: 220,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,851.24 : 584,776.47 = 146,737.71 : x
  2. Step 2: Convert to fraction form
    389,851.24/584,776.47 = 146,737.71/x
  3. Step 3: Cross multiply
    389,851.24x = 584,776.47 × 146,737.71
  4. Step 4: Simplify right side
    389,851.24x = 85,808,760,069.68
  5. Step 5: Solve for x
    x = 85,808,760,069.68/389,851.24
  6. Step 6: Final answer
    x = 220,106.42

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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.