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Finding the Fourth Proportional to 420,594.86, 580,420.34 and 269,691.50

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Solution

The fourth proportional to 420,594.86, 580,420.34 and 269,691.50 is: 372,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,594.86 : 580,420.34 = 269,691.50 : x
  2. Step 2: Convert to fraction form
    420,594.86/580,420.34 = 269,691.50/x
  3. Step 3: Cross multiply
    420,594.86x = 580,420.34 × 269,691.50
  4. Step 4: Simplify right side
    420,594.86x = 156,534,432,125.11
  5. Step 5: Solve for x
    x = 156,534,432,125.11/420,594.86
  6. Step 6: Final answer
    x = 372,173.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.