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Finding the Fourth Proportional to 393,214.66, 542,465.13 and 249,897.94

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Solution

The fourth proportional to 393,214.66, 542,465.13 and 249,897.94 is: 344,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,214.66 : 542,465.13 = 249,897.94 : x
  2. Step 2: Convert to fraction form
    393,214.66/542,465.13 = 249,897.94/x
  3. Step 3: Cross multiply
    393,214.66x = 542,465.13 × 249,897.94
  4. Step 4: Simplify right side
    393,214.66x = 135,560,918,508.83
  5. Step 5: Solve for x
    x = 135,560,918,508.83/393,214.66
  6. Step 6: Final answer
    x = 344,750.42

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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.