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Finding the Fourth Proportional to 517,452.48, 714,061.28 and 288,021.76

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Solution

The fourth proportional to 517,452.48, 714,061.28 and 288,021.76 is: 397,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,452.48 : 714,061.28 = 288,021.76 : x
  2. Step 2: Convert to fraction form
    517,452.48/714,061.28 = 288,021.76/x
  3. Step 3: Cross multiply
    517,452.48x = 714,061.28 × 288,021.76
  4. Step 4: Simplify right side
    517,452.48x = 205,665,186,613.45
  5. Step 5: Solve for x
    x = 205,665,186,613.45/517,452.48
  6. Step 6: Final answer
    x = 397,457.15

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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.