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Finding the Fourth Proportional to 403,740.10, 605,610.15 and 137,412.10

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Solution

The fourth proportional to 403,740.10, 605,610.15 and 137,412.10 is: 206,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,740.10 : 605,610.15 = 137,412.10 : x
  2. Step 2: Convert to fraction form
    403,740.10/605,610.15 = 137,412.10/x
  3. Step 3: Cross multiply
    403,740.10x = 605,610.15 × 137,412.10
  4. Step 4: Simplify right side
    403,740.10x = 83,218,162,492.82
  5. Step 5: Solve for x
    x = 83,218,162,492.82/403,740.10
  6. Step 6: Final answer
    x = 206,118.15

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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.