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Finding the Fourth Proportional to 403,463.40, 605,020.12 and 137,152.40

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Solution

The fourth proportional to 403,463.40, 605,020.12 and 137,152.40 is: 205,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,463.40 : 605,020.12 = 137,152.40 : x
  2. Step 2: Convert to fraction form
    403,463.40/605,020.12 = 137,152.40/x
  3. Step 3: Cross multiply
    403,463.40x = 605,020.12 × 137,152.40
  4. Step 4: Simplify right side
    403,463.40x = 82,979,961,506.29
  5. Step 5: Solve for x
    x = 82,979,961,506.29/403,463.40
  6. Step 6: Final answer
    x = 205,669.12

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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.