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Finding the Fourth Proportional to 709,846.98, 1,063,072.98 and 409,416.78

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Solution

The fourth proportional to 709,846.98, 1,063,072.98 and 409,416.78 is: 613,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,846.98 : 1,063,072.98 = 409,416.78 : x
  2. Step 2: Convert to fraction form
    709,846.98/1,063,072.98 = 409,416.78/x
  3. Step 3: Cross multiply
    709,846.98x = 1,063,072.98 × 409,416.78
  4. Step 4: Simplify right side
    709,846.98x = 435,239,916,376.60
  5. Step 5: Solve for x
    x = 435,239,916,376.60/709,846.98
  6. Step 6: Final answer
    x = 613,146.11

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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.