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Finding the Fourth Proportional to 287,357.10, 431,035.65 and 100,344.30

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Solution

The fourth proportional to 287,357.10, 431,035.65 and 100,344.30 is: 150,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,357.10 : 431,035.65 = 100,344.30 : x
  2. Step 2: Convert to fraction form
    287,357.10/431,035.65 = 100,344.30/x
  3. Step 3: Cross multiply
    287,357.10x = 431,035.65 × 100,344.30
  4. Step 4: Simplify right side
    287,357.10x = 43,251,970,574.30
  5. Step 5: Solve for x
    x = 43,251,970,574.30/287,357.10
  6. Step 6: Final answer
    x = 150,516.45

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1.5x scale

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.