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Finding the Fourth Proportional to 343,707.30, 515,123.55 and 165,831.30

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Solution

The fourth proportional to 343,707.30, 515,123.55 and 165,831.30 is: 248,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,707.30 : 515,123.55 = 165,831.30 : x
  2. Step 2: Convert to fraction form
    343,707.30/515,123.55 = 165,831.30/x
  3. Step 3: Cross multiply
    343,707.30x = 515,123.55 × 165,831.30
  4. Step 4: Simplify right side
    343,707.30x = 85,423,607,957.12
  5. Step 5: Solve for x
    x = 85,423,607,957.12/343,707.30
  6. Step 6: Final answer
    x = 248,535.91

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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.