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Finding the Fourth Proportional to 442,661.40, 663,117.30 and 242,623.80

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Solution

The fourth proportional to 442,661.40, 663,117.30 and 242,623.80 is: 363,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,661.40 : 663,117.30 = 242,623.80 : x
  2. Step 2: Convert to fraction form
    442,661.40/663,117.30 = 242,623.80/x
  3. Step 3: Cross multiply
    442,661.40x = 663,117.30 × 242,623.80
  4. Step 4: Simplify right side
    442,661.40x = 160,888,039,171.74
  5. Step 5: Solve for x
    x = 160,888,039,171.74/442,661.40
  6. Step 6: Final answer
    x = 363,456.22

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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.