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Finding the Fourth Proportional to 579,442.80, 869,207.40 and 205,417.20

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Solution

The fourth proportional to 579,442.80, 869,207.40 and 205,417.20 is: 308,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,442.80 : 869,207.40 = 205,417.20 : x
  2. Step 2: Convert to fraction form
    579,442.80/869,207.40 = 205,417.20/x
  3. Step 3: Cross multiply
    579,442.80x = 869,207.40 × 205,417.20
  4. Step 4: Simplify right side
    579,442.80x = 178,550,150,327.28
  5. Step 5: Solve for x
    x = 178,550,150,327.28/579,442.80
  6. Step 6: Final answer
    x = 308,141.11

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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.