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Finding the Fourth Proportional to 287,029.04, 430,543.92 and 137,234.12

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Solution

The fourth proportional to 287,029.04, 430,543.92 and 137,234.12 is: 205,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,029.04 : 430,543.92 = 137,234.12 : x
  2. Step 2: Convert to fraction form
    287,029.04/430,543.92 = 137,234.12/x
  3. Step 3: Cross multiply
    287,029.04x = 430,543.92 × 137,234.12
  4. Step 4: Simplify right side
    287,029.04x = 59,085,315,982.55
  5. Step 5: Solve for x
    x = 59,085,315,982.55/287,029.04
  6. Step 6: Final answer
    x = 205,851.35

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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.