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Finding the Fourth Proportional to 287,574.48, 431,420.04 and 100,717.20

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Solution

The fourth proportional to 287,574.48, 431,420.04 and 100,717.20 is: 151,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,574.48 : 431,420.04 = 100,717.20 : x
  2. Step 2: Convert to fraction form
    287,574.48/431,420.04 = 100,717.20/x
  3. Step 3: Cross multiply
    287,574.48x = 431,420.04 × 100,717.20
  4. Step 4: Simplify right side
    287,574.48x = 43,451,418,452.69
  5. Step 5: Solve for x
    x = 43,451,418,452.69/287,574.48
  6. Step 6: Final answer
    x = 151,096.23

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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.