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Finding the Fourth Proportional to 414,319.20, 621,478.80 and 347,834.40

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Solution

The fourth proportional to 414,319.20, 621,478.80 and 347,834.40 is: 521,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,319.20 : 621,478.80 = 347,834.40 : x
  2. Step 2: Convert to fraction form
    414,319.20/621,478.80 = 347,834.40/x
  3. Step 3: Cross multiply
    414,319.20x = 621,478.80 × 347,834.40
  4. Step 4: Simplify right side
    414,319.20x = 216,171,705,510.72
  5. Step 5: Solve for x
    x = 216,171,705,510.72/414,319.20
  6. Step 6: Final answer
    x = 521,751.60

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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.