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Finding the Fourth Proportional to 285,052.74, 427,726.65 and 206,812.74

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Solution

The fourth proportional to 285,052.74, 427,726.65 and 206,812.74 is: 310,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,052.74 : 427,726.65 = 206,812.74 : x
  2. Step 2: Convert to fraction form
    285,052.74/427,726.65 = 206,812.74/x
  3. Step 3: Cross multiply
    285,052.74x = 427,726.65 × 206,812.74
  4. Step 4: Simplify right side
    285,052.74x = 88,459,320,457.52
  5. Step 5: Solve for x
    x = 88,459,320,457.52/285,052.74
  6. Step 6: Final answer
    x = 310,326.15

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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.