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Finding the Fourth Proportional to 402,998.20, 604,886.10 and 203,543.80

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Solution

The fourth proportional to 402,998.20, 604,886.10 and 203,543.80 is: 305,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,998.20 : 604,886.10 = 203,543.80 : x
  2. Step 2: Convert to fraction form
    402,998.20/604,886.10 = 203,543.80/x
  3. Step 3: Cross multiply
    402,998.20x = 604,886.10 × 203,543.80
  4. Step 4: Simplify right side
    402,998.20x = 123,120,815,361.18
  5. Step 5: Solve for x
    x = 123,120,815,361.18/402,998.20
  6. Step 6: Final answer
    x = 305,512.07

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1.5x scale

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.