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Finding the Fourth Proportional to 421,478.30, 632,217.45 and 414,479.90

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Solution

The fourth proportional to 421,478.30, 632,217.45 and 414,479.90 is: 621,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,478.30 : 632,217.45 = 414,479.90 : x
  2. Step 2: Convert to fraction form
    421,478.30/632,217.45 = 414,479.90/x
  3. Step 3: Cross multiply
    421,478.30x = 632,217.45 × 414,479.90
  4. Step 4: Simplify right side
    421,478.30x = 262,041,425,454.26
  5. Step 5: Solve for x
    x = 262,041,425,454.26/421,478.30
  6. Step 6: Final answer
    x = 621,719.85

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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.