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Finding the Fourth Proportional to 417,831.80, 626,318.68 and 165,009.80

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Solution

The fourth proportional to 417,831.80, 626,318.68 and 165,009.80 is: 247,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,831.80 : 626,318.68 = 165,009.80 : x
  2. Step 2: Convert to fraction form
    417,831.80/626,318.68 = 165,009.80/x
  3. Step 3: Cross multiply
    417,831.80x = 626,318.68 × 165,009.80
  4. Step 4: Simplify right side
    417,831.80x = 103,348,720,123.06
  5. Step 5: Solve for x
    x = 103,348,720,123.06/417,831.80
  6. Step 6: Final answer
    x = 247,345.27

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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.