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Finding the Fourth Proportional to 418,909.32, 623,626.29 and 416,418.57

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Solution

The fourth proportional to 418,909.32, 623,626.29 and 416,418.57 is: 619,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,909.32 : 623,626.29 = 416,418.57 : x
  2. Step 2: Convert to fraction form
    418,909.32/623,626.29 = 416,418.57/x
  3. Step 3: Cross multiply
    418,909.32x = 623,626.29 × 416,418.57
  4. Step 4: Simplify right side
    418,909.32x = 259,689,567,896.21
  5. Step 5: Solve for x
    x = 259,689,567,896.21/418,909.32
  6. Step 6: Final answer
    x = 619,918.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.