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Finding the Fourth Proportional to 530,419.27, 731,994.06 and 288,717.46

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Solution

The fourth proportional to 530,419.27, 731,994.06 and 288,717.46 is: 398,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,419.27 : 731,994.06 = 288,717.46 : x
  2. Step 2: Convert to fraction form
    530,419.27/731,994.06 = 288,717.46/x
  3. Step 3: Cross multiply
    530,419.27x = 731,994.06 × 288,717.46
  4. Step 4: Simplify right side
    530,419.27x = 211,339,465,738.29
  5. Step 5: Solve for x
    x = 211,339,465,738.29/530,419.27
  6. Step 6: Final answer
    x = 398,438.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.