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Finding the Fourth Proportional to 356,929.65, 534,342.56 and 312,642.90

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Solution

The fourth proportional to 356,929.65, 534,342.56 and 312,642.90 is: 468,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,929.65 : 534,342.56 = 312,642.90 : x
  2. Step 2: Convert to fraction form
    356,929.65/534,342.56 = 312,642.90/x
  3. Step 3: Cross multiply
    356,929.65x = 534,342.56 × 312,642.90
  4. Step 4: Simplify right side
    356,929.65x = 167,058,405,988.61
  5. Step 5: Solve for x
    x = 167,058,405,988.61/356,929.65
  6. Step 6: Final answer
    x = 468,042.95

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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.