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Finding the Fourth Proportional to 477,400.68, 658,134.48 and 379,748.16

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Solution

The fourth proportional to 477,400.68, 658,134.48 and 379,748.16 is: 523,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,400.68 : 658,134.48 = 379,748.16 : x
  2. Step 2: Convert to fraction form
    477,400.68/658,134.48 = 379,748.16/x
  3. Step 3: Cross multiply
    477,400.68x = 658,134.48 × 379,748.16
  4. Step 4: Simplify right side
    477,400.68x = 249,925,357,812.56
  5. Step 5: Solve for x
    x = 249,925,357,812.56/477,400.68
  6. Step 6: Final answer
    x = 523,512.78

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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.