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Finding the Fourth Proportional to 412,210.80, 618,316.20 and 371,532.60

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Solution

The fourth proportional to 412,210.80, 618,316.20 and 371,532.60 is: 557,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,210.80 : 618,316.20 = 371,532.60 : x
  2. Step 2: Convert to fraction form
    412,210.80/618,316.20 = 371,532.60/x
  3. Step 3: Cross multiply
    412,210.80x = 618,316.20 × 371,532.60
  4. Step 4: Simplify right side
    412,210.80x = 229,724,625,408.12
  5. Step 5: Solve for x
    x = 229,724,625,408.12/412,210.80
  6. Step 6: Final answer
    x = 557,298.90

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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.