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Finding the Fourth Proportional to 517,732.78, 714,519.48 and 302,859.22

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Solution

The fourth proportional to 517,732.78, 714,519.48 and 302,859.22 is: 417,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,732.78 : 714,519.48 = 302,859.22 : x
  2. Step 2: Convert to fraction form
    517,732.78/714,519.48 = 302,859.22/x
  3. Step 3: Cross multiply
    517,732.78x = 714,519.48 × 302,859.22
  4. Step 4: Simplify right side
    517,732.78x = 216,398,812,387.61
  5. Step 5: Solve for x
    x = 216,398,812,387.61/517,732.78
  6. Step 6: Final answer
    x = 417,973.94

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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.