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Finding the Fourth Proportional to 287,923.60, 431,755.80 and 130,070.80

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Solution

The fourth proportional to 287,923.60, 431,755.80 and 130,070.80 is: 195,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,923.60 : 431,755.80 = 130,070.80 : x
  2. Step 2: Convert to fraction form
    287,923.60/431,755.80 = 130,070.80/x
  3. Step 3: Cross multiply
    287,923.60x = 431,755.80 × 130,070.80
  4. Step 4: Simplify right side
    287,923.60x = 56,158,822,310.64
  5. Step 5: Solve for x
    x = 56,158,822,310.64/287,923.60
  6. Step 6: Final answer
    x = 195,047.65

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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.