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Finding the Fourth Proportional to 386,703, 580,031.19 and 229,929.12

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Solution

The fourth proportional to 386,703, 580,031.19 and 229,929.12 is: 344,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,703 : 580,031.19 = 229,929.12 : x
  2. Step 2: Convert to fraction form
    386,703/580,031.19 = 229,929.12/x
  3. Step 3: Cross multiply
    386,703x = 580,031.19 × 229,929.12
  4. Step 4: Simplify right side
    386,703x = 133,366,061,089.25
  5. Step 5: Solve for x
    x = 133,366,061,089.25/386,703
  6. Step 6: Final answer
    x = 344,879.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.