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Finding the Fourth Proportional to 438,405.80, 656,442.30 and 279,775.40

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Solution

The fourth proportional to 438,405.80, 656,442.30 and 279,775.40 is: 418,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,405.80 : 656,442.30 = 279,775.40 : x
  2. Step 2: Convert to fraction form
    438,405.80/656,442.30 = 279,775.40/x
  3. Step 3: Cross multiply
    438,405.80x = 656,442.30 × 279,775.40
  4. Step 4: Simplify right side
    438,405.80x = 183,656,407,059.42
  5. Step 5: Solve for x
    x = 183,656,407,059.42/438,405.80
  6. Step 6: Final answer
    x = 418,918.74

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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.