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Finding the Fourth Proportional to 675,964.16, 932,930.56 and 389,429.76

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Solution

The fourth proportional to 675,964.16, 932,930.56 and 389,429.76 is: 537,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,964.16 : 932,930.56 = 389,429.76 : x
  2. Step 2: Convert to fraction form
    675,964.16/932,930.56 = 389,429.76/x
  3. Step 3: Cross multiply
    675,964.16x = 932,930.56 × 389,429.76
  4. Step 4: Simplify right side
    675,964.16x = 363,310,924,077.47
  5. Step 5: Solve for x
    x = 363,310,924,077.47/675,964.16
  6. Step 6: Final answer
    x = 537,470.69

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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.