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Finding the Fourth Proportional to 658,365.71, 908,936.23 and 416,855.30

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Solution

The fourth proportional to 658,365.71, 908,936.23 and 416,855.30 is: 575,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,365.71 : 908,936.23 = 416,855.30 : x
  2. Step 2: Convert to fraction form
    658,365.71/908,936.23 = 416,855.30/x
  3. Step 3: Cross multiply
    658,365.71x = 908,936.23 × 416,855.30
  4. Step 4: Simplify right side
    658,365.71x = 378,894,886,067.72
  5. Step 5: Solve for x
    x = 378,894,886,067.72/658,365.71
  6. Step 6: Final answer
    x = 575,508.23

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1.5x scale

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.