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Finding the Fourth Proportional to 432,438, 648,491.76 and 207,734.40

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Solution

The fourth proportional to 432,438, 648,491.76 and 207,734.40 is: 311,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,438 : 648,491.76 = 207,734.40 : x
  2. Step 2: Convert to fraction form
    432,438/648,491.76 = 207,734.40/x
  3. Step 3: Cross multiply
    432,438x = 648,491.76 × 207,734.40
  4. Step 4: Simplify right side
    432,438x = 134,714,046,668.54
  5. Step 5: Solve for x
    x = 134,714,046,668.54/432,438
  6. Step 6: Final answer
    x = 311,522.22

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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.