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Finding the Fourth Proportional to 291,849.84, 402,752.78 and 157,713.84

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Solution

The fourth proportional to 291,849.84, 402,752.78 and 157,713.84 is: 217,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,849.84 : 402,752.78 = 157,713.84 : x
  2. Step 2: Convert to fraction form
    291,849.84/402,752.78 = 157,713.84/x
  3. Step 3: Cross multiply
    291,849.84x = 402,752.78 × 157,713.84
  4. Step 4: Simplify right side
    291,849.84x = 63,519,687,504.48
  5. Step 5: Solve for x
    x = 63,519,687,504.48/291,849.84
  6. Step 6: Final answer
    x = 217,645.10

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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.