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Finding the Fourth Proportional to 272,951.10, 409,426.65 and 260,703.90

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Solution

The fourth proportional to 272,951.10, 409,426.65 and 260,703.90 is: 391,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,951.10 : 409,426.65 = 260,703.90 : x
  2. Step 2: Convert to fraction form
    272,951.10/409,426.65 = 260,703.90/x
  3. Step 3: Cross multiply
    272,951.10x = 409,426.65 × 260,703.90
  4. Step 4: Simplify right side
    272,951.10x = 106,739,124,418.94
  5. Step 5: Solve for x
    x = 106,739,124,418.94/272,951.10
  6. Step 6: Final answer
    x = 391,055.85

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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.