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Finding the Fourth Proportional to 392,053.25, 540,950.05 and 230,849.48

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Solution

The fourth proportional to 392,053.25, 540,950.05 and 230,849.48 is: 318,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,053.25 : 540,950.05 = 230,849.48 : x
  2. Step 2: Convert to fraction form
    392,053.25/540,950.05 = 230,849.48/x
  3. Step 3: Cross multiply
    392,053.25x = 540,950.05 × 230,849.48
  4. Step 4: Simplify right side
    392,053.25x = 124,878,037,748.47
  5. Step 5: Solve for x
    x = 124,878,037,748.47/392,053.25
  6. Step 6: Final answer
    x = 318,523.15

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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.