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Finding the Fourth Proportional to 404,643.60, 606,965.40 and 138,380.40

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Solution

The fourth proportional to 404,643.60, 606,965.40 and 138,380.40 is: 207,570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,643.60 : 606,965.40 = 138,380.40 : x
  2. Step 2: Convert to fraction form
    404,643.60/606,965.40 = 138,380.40/x
  3. Step 3: Cross multiply
    404,643.60x = 606,965.40 × 138,380.40
  4. Step 4: Simplify right side
    404,643.60x = 83,992,114,838.16
  5. Step 5: Solve for x
    x = 83,992,114,838.16/404,643.60
  6. Step 6: Final answer
    x = 207,570.60

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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.