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Finding the Fourth Proportional to 272,343.80, 408,078.30 and 256,597.40

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Solution

The fourth proportional to 272,343.80, 408,078.30 and 256,597.40 is: 384,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,343.80 : 408,078.30 = 256,597.40 : x
  2. Step 2: Convert to fraction form
    272,343.80/408,078.30 = 256,597.40/x
  3. Step 3: Cross multiply
    272,343.80x = 408,078.30 × 256,597.40
  4. Step 4: Simplify right side
    272,343.80x = 104,711,830,776.42
  5. Step 5: Solve for x
    x = 104,711,830,776.42/272,343.80
  6. Step 6: Final answer
    x = 384,483.99

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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.