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Finding the Fourth Proportional to 461,303.20, 690,642.60 and 408,815.20

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Solution

The fourth proportional to 461,303.20, 690,642.60 and 408,815.20 is: 612,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,303.20 : 690,642.60 = 408,815.20 : x
  2. Step 2: Convert to fraction form
    461,303.20/690,642.60 = 408,815.20/x
  3. Step 3: Cross multiply
    461,303.20x = 690,642.60 × 408,815.20
  4. Step 4: Simplify right side
    461,303.20x = 282,345,192,647.52
  5. Step 5: Solve for x
    x = 282,345,192,647.52/461,303.20
  6. Step 6: Final answer
    x = 612,059.90

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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.