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Finding the Fourth Proportional to 268,533.20, 402,543.80 and 100,008.40

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Solution

The fourth proportional to 268,533.20, 402,543.80 and 100,008.40 is: 149,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,533.20 : 402,543.80 = 100,008.40 : x
  2. Step 2: Convert to fraction form
    268,533.20/402,543.80 = 100,008.40/x
  3. Step 3: Cross multiply
    268,533.20x = 402,543.80 × 100,008.40
  4. Step 4: Simplify right side
    268,533.20x = 40,257,761,367.92
  5. Step 5: Solve for x
    x = 40,257,761,367.92/268,533.20
  6. Step 6: Final answer
    x = 149,917.26

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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.