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Finding the Fourth Proportional to 442,710.77, 664,066.76 and 189,827.96

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Solution

The fourth proportional to 442,710.77, 664,066.76 and 189,827.96 is: 284,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,710.77 : 664,066.76 = 189,827.96 : x
  2. Step 2: Convert to fraction form
    442,710.77/664,066.76 = 189,827.96/x
  3. Step 3: Cross multiply
    442,710.77x = 664,066.76 × 189,827.96
  4. Step 4: Simplify right side
    442,710.77x = 126,058,434,085.14
  5. Step 5: Solve for x
    x = 126,058,434,085.14/442,710.77
  6. Step 6: Final answer
    x = 284,742.19

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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.