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Finding the Fourth Proportional to 538,883.20, 807,806.40 and 418,873.60

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Solution

The fourth proportional to 538,883.20, 807,806.40 and 418,873.60 is: 627,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,883.20 : 807,806.40 = 418,873.60 : x
  2. Step 2: Convert to fraction form
    538,883.20/807,806.40 = 418,873.60/x
  3. Step 3: Cross multiply
    538,883.20x = 807,806.40 × 418,873.60
  4. Step 4: Simplify right side
    538,883.20x = 338,368,774,871.04
  5. Step 5: Solve for x
    x = 338,368,774,871.04/538,883.20
  6. Step 6: Final answer
    x = 627,907.45

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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.