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Finding the Fourth Proportional to 511,453.23, 767,210.55 and 156,470.32

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Solution

The fourth proportional to 511,453.23, 767,210.55 and 156,470.32 is: 234,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,453.23 : 767,210.55 = 156,470.32 : x
  2. Step 2: Convert to fraction form
    511,453.23/767,210.55 = 156,470.32/x
  3. Step 3: Cross multiply
    511,453.23x = 767,210.55 × 156,470.32
  4. Step 4: Simplify right side
    511,453.23x = 120,045,680,265.88
  5. Step 5: Solve for x
    x = 120,045,680,265.88/511,453.23
  6. Step 6: Final answer
    x = 234,714.87

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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.