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Finding the Fourth Proportional to 598,472, 897,902.40 and 418,742.72

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Solution

The fourth proportional to 598,472, 897,902.40 and 418,742.72 is: 628,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,472 : 897,902.40 = 418,742.72 : x
  2. Step 2: Convert to fraction form
    598,472/897,902.40 = 418,742.72/x
  3. Step 3: Cross multiply
    598,472x = 897,902.40 × 418,742.72
  4. Step 4: Simplify right side
    598,472x = 375,990,093,270.53
  5. Step 5: Solve for x
    x = 375,990,093,270.53/598,472
  6. Step 6: Final answer
    x = 628,250.10

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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.