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Finding the Fourth Proportional to 412,219.80, 618,329.70 and 371,541.60

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Solution

The fourth proportional to 412,219.80, 618,329.70 and 371,541.60 is: 557,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,219.80 : 618,329.70 = 371,541.60 : x
  2. Step 2: Convert to fraction form
    412,219.80/618,329.70 = 371,541.60/x
  3. Step 3: Cross multiply
    412,219.80x = 618,329.70 × 371,541.60
  4. Step 4: Simplify right side
    412,219.80x = 229,735,206,065.52
  5. Step 5: Solve for x
    x = 229,735,206,065.52/412,219.80
  6. Step 6: Final answer
    x = 557,312.40

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1.5x scale

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.