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Finding the Fourth Proportional to 408,838.08, 564,274.40 and 229,990.08

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Solution

The fourth proportional to 408,838.08, 564,274.40 and 229,990.08 is: 317,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,838.08 : 564,274.40 = 229,990.08 : x
  2. Step 2: Convert to fraction form
    408,838.08/564,274.40 = 229,990.08/x
  3. Step 3: Cross multiply
    408,838.08x = 564,274.40 × 229,990.08
  4. Step 4: Simplify right side
    408,838.08x = 129,777,514,397.95
  5. Step 5: Solve for x
    x = 129,777,514,397.95/408,838.08
  6. Step 6: Final answer
    x = 317,430.10

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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.