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Finding the Fourth Proportional to 517,493.27, 714,148.79 and 288,053.06

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Solution

The fourth proportional to 517,493.27, 714,148.79 and 288,053.06 is: 397,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,493.27 : 714,148.79 = 288,053.06 : x
  2. Step 2: Convert to fraction form
    517,493.27/714,148.79 = 288,053.06/x
  3. Step 3: Cross multiply
    517,493.27x = 714,148.79 × 288,053.06
  4. Step 4: Simplify right side
    517,493.27x = 205,712,739,243.79
  5. Step 5: Solve for x
    x = 205,712,739,243.79/517,493.27
  6. Step 6: Final answer
    x = 397,517.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.