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Finding the Fourth Proportional to 662,375.76, 913,585.68 and 420,448.20

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Solution

The fourth proportional to 662,375.76, 913,585.68 and 420,448.20 is: 579,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,375.76 : 913,585.68 = 420,448.20 : x
  2. Step 2: Convert to fraction form
    662,375.76/913,585.68 = 420,448.20/x
  3. Step 3: Cross multiply
    662,375.76x = 913,585.68 × 420,448.20
  4. Step 4: Simplify right side
    662,375.76x = 384,115,454,701.78
  5. Step 5: Solve for x
    x = 384,115,454,701.78/662,375.76
  6. Step 6: Final answer
    x = 579,905.66

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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.