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Finding the Fourth Proportional to 418,868, 627,864.50 and 205,340.24

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Solution

The fourth proportional to 418,868, 627,864.50 and 205,340.24 is: 307,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,868 : 627,864.50 = 205,340.24 : x
  2. Step 2: Convert to fraction form
    418,868/627,864.50 = 205,340.24/x
  3. Step 3: Cross multiply
    418,868x = 627,864.50 × 205,340.24
  4. Step 4: Simplify right side
    418,868x = 128,925,847,117.48
  5. Step 5: Solve for x
    x = 128,925,847,117.48/418,868
  6. Step 6: Final answer
    x = 307,795.89

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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.