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Finding the Fourth Proportional to 538,916.80, 810,124.80 and 382,230.40

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Solution

The fourth proportional to 538,916.80, 810,124.80 and 382,230.40 is: 574,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,916.80 : 810,124.80 = 382,230.40 : x
  2. Step 2: Convert to fraction form
    538,916.80/810,124.80 = 382,230.40/x
  3. Step 3: Cross multiply
    538,916.80x = 810,124.80 × 382,230.40
  4. Step 4: Simplify right side
    538,916.80x = 309,654,326,353.92
  5. Step 5: Solve for x
    x = 309,654,326,353.92/538,916.80
  6. Step 6: Final answer
    x = 574,586.52

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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.