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Finding the Fourth Proportional to 403,322.40, 605,041.20 and 137,095.20

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Solution

The fourth proportional to 403,322.40, 605,041.20 and 137,095.20 is: 205,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,322.40 : 605,041.20 = 137,095.20 : x
  2. Step 2: Convert to fraction form
    403,322.40/605,041.20 = 137,095.20/x
  3. Step 3: Cross multiply
    403,322.40x = 605,041.20 × 137,095.20
  4. Step 4: Simplify right side
    403,322.40x = 82,948,244,322.24
  5. Step 5: Solve for x
    x = 82,948,244,322.24/403,322.40
  6. Step 6: Final answer
    x = 205,662.38

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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.