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Finding the Fourth Proportional to 511,815.55, 767,695.65 and 156,830.62

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Solution

The fourth proportional to 511,815.55, 767,695.65 and 156,830.62 is: 235,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,815.55 : 767,695.65 = 156,830.62 : x
  2. Step 2: Convert to fraction form
    511,815.55/767,695.65 = 156,830.62/x
  3. Step 3: Cross multiply
    511,815.55x = 767,695.65 × 156,830.62
  4. Step 4: Simplify right side
    511,815.55x = 120,398,184,760.80
  5. Step 5: Solve for x
    x = 120,398,184,760.80/511,815.55
  6. Step 6: Final answer
    x = 235,237.45

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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.