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Finding the Fourth Proportional to 613,599.28, 847,028.30 and 412,511.92

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Solution

The fourth proportional to 613,599.28, 847,028.30 and 412,511.92 is: 569,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,599.28 : 847,028.30 = 412,511.92 : x
  2. Step 2: Convert to fraction form
    613,599.28/847,028.30 = 412,511.92/x
  3. Step 3: Cross multiply
    613,599.28x = 847,028.30 × 412,511.92
  4. Step 4: Simplify right side
    613,599.28x = 349,409,270,327.34
  5. Step 5: Solve for x
    x = 349,409,270,327.34/613,599.28
  6. Step 6: Final answer
    x = 569,442.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.