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Finding the Fourth Proportional to 287,762.20, 431,060.10 and 162,957.40

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Solution

The fourth proportional to 287,762.20, 431,060.10 and 162,957.40 is: 244,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,762.20 : 431,060.10 = 162,957.40 : x
  2. Step 2: Convert to fraction form
    287,762.20/431,060.10 = 162,957.40/x
  3. Step 3: Cross multiply
    287,762.20x = 431,060.10 × 162,957.40
  4. Step 4: Simplify right side
    287,762.20x = 70,244,433,139.74
  5. Step 5: Solve for x
    x = 70,244,433,139.74/287,762.20
  6. Step 6: Final answer
    x = 244,105.84

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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.