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Finding the Fourth Proportional to 368,396.48, 508,387.92 and 217,503.20

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Solution

The fourth proportional to 368,396.48, 508,387.92 and 217,503.20 is: 300,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,396.48 : 508,387.92 = 217,503.20 : x
  2. Step 2: Convert to fraction form
    368,396.48/508,387.92 = 217,503.20/x
  3. Step 3: Cross multiply
    368,396.48x = 508,387.92 × 217,503.20
  4. Step 4: Simplify right side
    368,396.48x = 110,575,999,441.34
  5. Step 5: Solve for x
    x = 110,575,999,441.34/368,396.48
  6. Step 6: Final answer
    x = 300,154.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.