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Finding the Fourth Proportional to 285,502.84, 428,221.14 and 75,157.18

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Solution

The fourth proportional to 285,502.84, 428,221.14 and 75,157.18 is: 112,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,502.84 : 428,221.14 = 75,157.18 : x
  2. Step 2: Convert to fraction form
    285,502.84/428,221.14 = 75,157.18/x
  3. Step 3: Cross multiply
    285,502.84x = 428,221.14 × 75,157.18
  4. Step 4: Simplify right side
    285,502.84x = 32,183,893,298.79
  5. Step 5: Solve for x
    x = 32,183,893,298.79/285,502.84
  6. Step 6: Final answer
    x = 112,727.05

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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.