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Finding the Fourth Proportional to 432,008.20, 648,206.70 and 207,281.80

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Solution

The fourth proportional to 432,008.20, 648,206.70 and 207,281.80 is: 311,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,008.20 : 648,206.70 = 207,281.80 : x
  2. Step 2: Convert to fraction form
    432,008.20/648,206.70 = 207,281.80/x
  3. Step 3: Cross multiply
    432,008.20x = 648,206.70 × 207,281.80
  4. Step 4: Simplify right side
    432,008.20x = 134,361,451,548.06
  5. Step 5: Solve for x
    x = 134,361,451,548.06/432,008.20
  6. Step 6: Final answer
    x = 311,015.98

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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.