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Finding the Fourth Proportional to 287,497, 430,675.06 and 135,485.92

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Solution

The fourth proportional to 287,497, 430,675.06 and 135,485.92 is: 202,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,497 : 430,675.06 = 135,485.92 : x
  2. Step 2: Convert to fraction form
    287,497/430,675.06 = 135,485.92/x
  3. Step 3: Cross multiply
    287,497x = 430,675.06 × 135,485.92
  4. Step 4: Simplify right side
    287,497x = 58,350,406,725.16
  5. Step 5: Solve for x
    x = 58,350,406,725.16/287,497
  6. Step 6: Final answer
    x = 202,960.05

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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.