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Finding the Fourth Proportional to 287,369.60, 431,027.80 and 135,531.84

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Solution

The fourth proportional to 287,369.60, 431,027.80 and 135,531.84 is: 203,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,369.60 : 431,027.80 = 135,531.84 : x
  2. Step 2: Convert to fraction form
    287,369.60/431,027.80 = 135,531.84/x
  3. Step 3: Cross multiply
    287,369.60x = 431,027.80 × 135,531.84
  4. Step 4: Simplify right side
    287,369.60x = 58,417,990,825.15
  5. Step 5: Solve for x
    x = 58,417,990,825.15/287,369.60
  6. Step 6: Final answer
    x = 203,285.21

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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.