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Finding the Fourth Proportional to 442,078.84, 663,247.65 and 142,553.40

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Solution

The fourth proportional to 442,078.84, 663,247.65 and 142,553.40 is: 213,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,078.84 : 663,247.65 = 142,553.40 : x
  2. Step 2: Convert to fraction form
    442,078.84/663,247.65 = 142,553.40/x
  3. Step 3: Cross multiply
    442,078.84x = 663,247.65 × 142,553.40
  4. Step 4: Simplify right side
    442,078.84x = 94,548,207,549.51
  5. Step 5: Solve for x
    x = 94,548,207,549.51/442,078.84
  6. Step 6: Final answer
    x = 213,871.82

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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.