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Finding the Fourth Proportional to 442,878.26, 611,191.45 and 249,298.46

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Solution

The fourth proportional to 442,878.26, 611,191.45 and 249,298.46 is: 344,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,878.26 : 611,191.45 = 249,298.46 : x
  2. Step 2: Convert to fraction form
    442,878.26/611,191.45 = 249,298.46/x
  3. Step 3: Cross multiply
    442,878.26x = 611,191.45 × 249,298.46
  4. Step 4: Simplify right side
    442,878.26x = 152,369,088,154.90
  5. Step 5: Solve for x
    x = 152,369,088,154.90/442,878.26
  6. Step 6: Final answer
    x = 344,042.82

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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.