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Finding the Fourth Proportional to 491,034.40, 735,514.80 and 438,503.20

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Solution

The fourth proportional to 491,034.40, 735,514.80 and 438,503.20 is: 656,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,034.40 : 735,514.80 = 438,503.20 : x
  2. Step 2: Convert to fraction form
    491,034.40/735,514.80 = 438,503.20/x
  3. Step 3: Cross multiply
    491,034.40x = 735,514.80 × 438,503.20
  4. Step 4: Simplify right side
    491,034.40x = 322,525,593,447.36
  5. Step 5: Solve for x
    x = 322,525,593,447.36/491,034.40
  6. Step 6: Final answer
    x = 656,828.92

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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.