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Finding the Fourth Proportional to 319,545.92, 440,986.70 and 176,315.24

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Solution

The fourth proportional to 319,545.92, 440,986.70 and 176,315.24 is: 243,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,545.92 : 440,986.70 = 176,315.24 : x
  2. Step 2: Convert to fraction form
    319,545.92/440,986.70 = 176,315.24/x
  3. Step 3: Cross multiply
    319,545.92x = 440,986.70 × 176,315.24
  4. Step 4: Simplify right side
    319,545.92x = 77,752,675,847.31
  5. Step 5: Solve for x
    x = 77,752,675,847.31/319,545.92
  6. Step 6: Final answer
    x = 243,322.39

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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.