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Finding the Fourth Proportional to 403,923.60, 605,885.40 and 137,660.40

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Solution

The fourth proportional to 403,923.60, 605,885.40 and 137,660.40 is: 206,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,923.60 : 605,885.40 = 137,660.40 : x
  2. Step 2: Convert to fraction form
    403,923.60/605,885.40 = 137,660.40/x
  3. Step 3: Cross multiply
    403,923.60x = 605,885.40 × 137,660.40
  4. Step 4: Simplify right side
    403,923.60x = 83,406,426,518.16
  5. Step 5: Solve for x
    x = 83,406,426,518.16/403,923.60
  6. Step 6: Final answer
    x = 206,490.60

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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.