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Finding the Fourth Proportional to 511,810.60, 767,648.70 and 156,860.20

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Solution

The fourth proportional to 511,810.60, 767,648.70 and 156,860.20 is: 235,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,810.60 : 767,648.70 = 156,860.20 : x
  2. Step 2: Convert to fraction form
    511,810.60/767,648.70 = 156,860.20/x
  3. Step 3: Cross multiply
    511,810.60x = 767,648.70 × 156,860.20
  4. Step 4: Simplify right side
    511,810.60x = 120,413,528,611.74
  5. Step 5: Solve for x
    x = 120,413,528,611.74/511,810.60
  6. Step 6: Final answer
    x = 235,269.70

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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.