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Finding the Fourth Proportional to 389,915.20, 584,872.80 and 323,430.40

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Solution

The fourth proportional to 389,915.20, 584,872.80 and 323,430.40 is: 485,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,915.20 : 584,872.80 = 323,430.40 : x
  2. Step 2: Convert to fraction form
    389,915.20/584,872.80 = 323,430.40/x
  3. Step 3: Cross multiply
    389,915.20x = 584,872.80 × 323,430.40
  4. Step 4: Simplify right side
    389,915.20x = 189,165,643,653.12
  5. Step 5: Solve for x
    x = 189,165,643,653.12/389,915.20
  6. Step 6: Final answer
    x = 485,145.60

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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.