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Finding the Fourth Proportional to 287,510.64, 431,251.20 and 110,004

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Solution

The fourth proportional to 287,510.64, 431,251.20 and 110,004 is: 165,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,510.64 : 431,251.20 = 110,004 : x
  2. Step 2: Convert to fraction form
    287,510.64/431,251.20 = 110,004/x
  3. Step 3: Cross multiply
    287,510.64x = 431,251.20 × 110,004
  4. Step 4: Simplify right side
    287,510.64x = 47,439,357,004.80
  5. Step 5: Solve for x
    x = 47,439,357,004.80/287,510.64
  6. Step 6: Final answer
    x = 165,000.35

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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.