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Finding the Fourth Proportional to 405,120.60, 607,680.90 and 402,496.20

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Solution

The fourth proportional to 405,120.60, 607,680.90 and 402,496.20 is: 603,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,120.60 : 607,680.90 = 402,496.20 : x
  2. Step 2: Convert to fraction form
    405,120.60/607,680.90 = 402,496.20/x
  3. Step 3: Cross multiply
    405,120.60x = 607,680.90 × 402,496.20
  4. Step 4: Simplify right side
    405,120.60x = 244,589,253,062.58
  5. Step 5: Solve for x
    x = 244,589,253,062.58/405,120.60
  6. Step 6: Final answer
    x = 603,744.30

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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.