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Finding the Fourth Proportional to 287,134.48, 430,769.88 and 90,142.48

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Solution

The fourth proportional to 287,134.48, 430,769.88 and 90,142.48 is: 135,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,134.48 : 430,769.88 = 90,142.48 : x
  2. Step 2: Convert to fraction form
    287,134.48/430,769.88 = 90,142.48/x
  3. Step 3: Cross multiply
    287,134.48x = 430,769.88 × 90,142.48
  4. Step 4: Simplify right side
    287,134.48x = 38,830,665,292.50
  5. Step 5: Solve for x
    x = 38,830,665,292.50/287,134.48
  6. Step 6: Final answer
    x = 135,235.12

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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.