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Finding the Fourth Proportional to 257,214.58, 354,946.17 and 144,031.54

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Solution

The fourth proportional to 257,214.58, 354,946.17 and 144,031.54 is: 198,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,214.58 : 354,946.17 = 144,031.54 : x
  2. Step 2: Convert to fraction form
    257,214.58/354,946.17 = 144,031.54/x
  3. Step 3: Cross multiply
    257,214.58x = 354,946.17 × 144,031.54
  4. Step 4: Simplify right side
    257,214.58x = 51,123,443,482.20
  5. Step 5: Solve for x
    x = 51,123,443,482.20/257,214.58
  6. Step 6: Final answer
    x = 198,757.95

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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.