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Finding the Fourth Proportional to 511,675.83, 767,515.55 and 156,688.29

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Solution

The fourth proportional to 511,675.83, 767,515.55 and 156,688.29 is: 235,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,675.83 : 767,515.55 = 156,688.29 : x
  2. Step 2: Convert to fraction form
    511,675.83/767,515.55 = 156,688.29/x
  3. Step 3: Cross multiply
    511,675.83x = 767,515.55 × 156,688.29
  4. Step 4: Simplify right side
    511,675.83x = 120,260,699,077.91
  5. Step 5: Solve for x
    x = 120,260,699,077.91/511,675.83
  6. Step 6: Final answer
    x = 235,032.99

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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.