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Finding the Fourth Proportional to 511,985.48, 767,989.28 and 156,991.64

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Solution

The fourth proportional to 511,985.48, 767,989.28 and 156,991.64 is: 235,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,985.48 : 767,989.28 = 156,991.64 : x
  2. Step 2: Convert to fraction form
    511,985.48/767,989.28 = 156,991.64/x
  3. Step 3: Cross multiply
    511,985.48x = 767,989.28 × 156,991.64
  4. Step 4: Simplify right side
    511,985.48x = 120,567,896,569.62
  5. Step 5: Solve for x
    x = 120,567,896,569.62/511,985.48
  6. Step 6: Final answer
    x = 235,490.85

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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.