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Finding the Fourth Proportional to 272,345.80, 408,081.30 and 256,599.40

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Solution

The fourth proportional to 272,345.80, 408,081.30 and 256,599.40 is: 384,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,345.80 : 408,081.30 = 256,599.40 : x
  2. Step 2: Convert to fraction form
    272,345.80/408,081.30 = 256,599.40/x
  3. Step 3: Cross multiply
    272,345.80x = 408,081.30 × 256,599.40
  4. Step 4: Simplify right side
    272,345.80x = 104,713,416,731.22
  5. Step 5: Solve for x
    x = 104,713,416,731.22/272,345.80
  6. Step 6: Final answer
    x = 384,486.99

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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.