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Finding the Fourth Proportional to 360,420.86, 497,360.70 and 199,266.50

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Solution

The fourth proportional to 360,420.86, 497,360.70 and 199,266.50 is: 274,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,420.86 : 497,360.70 = 199,266.50 : x
  2. Step 2: Convert to fraction form
    360,420.86/497,360.70 = 199,266.50/x
  3. Step 3: Cross multiply
    360,420.86x = 497,360.70 × 199,266.50
  4. Step 4: Simplify right side
    360,420.86x = 99,107,323,439.75
  5. Step 5: Solve for x
    x = 99,107,323,439.75/360,420.86
  6. Step 6: Final answer
    x = 274,976.66

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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.