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Finding the Fourth Proportional to 287,242.88, 431,061.18 and 100,254.38

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Solution

The fourth proportional to 287,242.88, 431,061.18 and 100,254.38 is: 150,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,242.88 : 431,061.18 = 100,254.38 : x
  2. Step 2: Convert to fraction form
    287,242.88/431,061.18 = 100,254.38/x
  3. Step 3: Cross multiply
    287,242.88x = 431,061.18 × 100,254.38
  4. Step 4: Simplify right side
    287,242.88x = 43,215,768,811.71
  5. Step 5: Solve for x
    x = 43,215,768,811.71/287,242.88
  6. Step 6: Final answer
    x = 150,450.27

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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.