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Finding the Fourth Proportional to 442,241.60, 663,200.40 and 142,800.80

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Solution

The fourth proportional to 442,241.60, 663,200.40 and 142,800.80 is: 214,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,241.60 : 663,200.40 = 142,800.80 : x
  2. Step 2: Convert to fraction form
    442,241.60/663,200.40 = 142,800.80/x
  3. Step 3: Cross multiply
    442,241.60x = 663,200.40 × 142,800.80
  4. Step 4: Simplify right side
    442,241.60x = 94,705,547,680.32
  5. Step 5: Solve for x
    x = 94,705,547,680.32/442,241.60
  6. Step 6: Final answer
    x = 214,148.89

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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.