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Finding the Fourth Proportional to 418,869.90, 627,988.41 and 208,656.54

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Solution

The fourth proportional to 418,869.90, 627,988.41 and 208,656.54 is: 312,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,869.90 : 627,988.41 = 208,656.54 : x
  2. Step 2: Convert to fraction form
    418,869.90/627,988.41 = 208,656.54/x
  3. Step 3: Cross multiply
    418,869.90x = 627,988.41 × 208,656.54
  4. Step 4: Simplify right side
    418,869.90x = 131,033,888,790.70
  5. Step 5: Solve for x
    x = 131,033,888,790.70/418,869.90
  6. Step 6: Final answer
    x = 312,827.18

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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.