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Finding the Fourth Proportional to 514,799.28, 710,365.68 and 299,894.40

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Solution

The fourth proportional to 514,799.28, 710,365.68 and 299,894.40 is: 413,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,799.28 : 710,365.68 = 299,894.40 : x
  2. Step 2: Convert to fraction form
    514,799.28/710,365.68 = 299,894.40/x
  3. Step 3: Cross multiply
    514,799.28x = 710,365.68 × 299,894.40
  4. Step 4: Simplify right side
    514,799.28x = 213,034,689,384.19
  5. Step 5: Solve for x
    x = 213,034,689,384.19/514,799.28
  6. Step 6: Final answer
    x = 413,820.88

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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.