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Finding the Fourth Proportional to 402,287.68, 603,436.80 and 102,770.72

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Solution

The fourth proportional to 402,287.68, 603,436.80 and 102,770.72 is: 154,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,287.68 : 603,436.80 = 102,770.72 : x
  2. Step 2: Convert to fraction form
    402,287.68/603,436.80 = 102,770.72/x
  3. Step 3: Cross multiply
    402,287.68x = 603,436.80 × 102,770.72
  4. Step 4: Simplify right side
    402,287.68x = 62,015,634,410.50
  5. Step 5: Solve for x
    x = 62,015,634,410.50/402,287.68
  6. Step 6: Final answer
    x = 154,157.43

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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.