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Finding the Fourth Proportional to 432,007.20, 648,205.20 and 207,280.80

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Solution

The fourth proportional to 432,007.20, 648,205.20 and 207,280.80 is: 311,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,007.20 : 648,205.20 = 207,280.80 : x
  2. Step 2: Convert to fraction form
    432,007.20/648,205.20 = 207,280.80/x
  3. Step 3: Cross multiply
    432,007.20x = 648,205.20 × 207,280.80
  4. Step 4: Simplify right side
    432,007.20x = 134,360,492,420.16
  5. Step 5: Solve for x
    x = 134,360,492,420.16/432,007.20
  6. Step 6: Final answer
    x = 311,014.47

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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.