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Finding the Fourth Proportional to 511,820.70, 767,788.65 and 156,831.90

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Solution

The fourth proportional to 511,820.70, 767,788.65 and 156,831.90 is: 235,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,820.70 : 767,788.65 = 156,831.90 : x
  2. Step 2: Convert to fraction form
    511,820.70/767,788.65 = 156,831.90/x
  3. Step 3: Cross multiply
    511,820.70x = 767,788.65 × 156,831.90
  4. Step 4: Simplify right side
    511,820.70x = 120,413,752,777.94
  5. Step 5: Solve for x
    x = 120,413,752,777.94/511,820.70
  6. Step 6: Final answer
    x = 235,265.50

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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.