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Finding the Fourth Proportional to 442,206.90, 663,440.49 and 142,681.86

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Solution

The fourth proportional to 442,206.90, 663,440.49 and 142,681.86 is: 214,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,206.90 : 663,440.49 = 142,681.86 : x
  2. Step 2: Convert to fraction form
    442,206.90/663,440.49 = 142,681.86/x
  3. Step 3: Cross multiply
    442,206.90x = 663,440.49 × 142,681.86
  4. Step 4: Simplify right side
    442,206.90x = 94,660,923,112.51
  5. Step 5: Solve for x
    x = 94,660,923,112.51/442,206.90
  6. Step 6: Final answer
    x = 214,064.78

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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.