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Finding the Fourth Proportional to 598,473, 897,903.90 and 418,743.72

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Solution

The fourth proportional to 598,473, 897,903.90 and 418,743.72 is: 628,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,473 : 897,903.90 = 418,743.72 : x
  2. Step 2: Convert to fraction form
    598,473/897,903.90 = 418,743.72/x
  3. Step 3: Cross multiply
    598,473x = 897,903.90 × 418,743.72
  4. Step 4: Simplify right side
    598,473x = 375,991,619,288.51
  5. Step 5: Solve for x
    x = 375,991,619,288.51/598,473
  6. Step 6: Final answer
    x = 628,251.60

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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.