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Finding the Fourth Proportional to 438,811.40, 657,698.70 and 327,873.80

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Solution

The fourth proportional to 438,811.40, 657,698.70 and 327,873.80 is: 491,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,811.40 : 657,698.70 = 327,873.80 : x
  2. Step 2: Convert to fraction form
    438,811.40/657,698.70 = 327,873.80/x
  3. Step 3: Cross multiply
    438,811.40x = 657,698.70 × 327,873.80
  4. Step 4: Simplify right side
    438,811.40x = 215,642,172,024.06
  5. Step 5: Solve for x
    x = 215,642,172,024.06/438,811.40
  6. Step 6: Final answer
    x = 491,423.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.