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Finding the Fourth Proportional to 576,038.40, 862,891.20 and 326,428.80

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Solution

The fourth proportional to 576,038.40, 862,891.20 and 326,428.80 is: 488,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,038.40 : 862,891.20 = 326,428.80 : x
  2. Step 2: Convert to fraction form
    576,038.40/862,891.20 = 326,428.80/x
  3. Step 3: Cross multiply
    576,038.40x = 862,891.20 × 326,428.80
  4. Step 4: Simplify right side
    576,038.40x = 281,672,538,946.56
  5. Step 5: Solve for x
    x = 281,672,538,946.56/576,038.40
  6. Step 6: Final answer
    x = 488,982.23

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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.