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Finding the Fourth Proportional to 408,140.70, 612,211.05 and 275,430.30

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Solution

The fourth proportional to 408,140.70, 612,211.05 and 275,430.30 is: 413,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,140.70 : 612,211.05 = 275,430.30 : x
  2. Step 2: Convert to fraction form
    408,140.70/612,211.05 = 275,430.30/x
  3. Step 3: Cross multiply
    408,140.70x = 612,211.05 × 275,430.30
  4. Step 4: Simplify right side
    408,140.70x = 168,621,473,164.82
  5. Step 5: Solve for x
    x = 168,621,473,164.82/408,140.70
  6. Step 6: Final answer
    x = 413,145.45

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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.