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Finding the Fourth Proportional to 416,117.60, 624,176.40 and 256,320.80

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Solution

The fourth proportional to 416,117.60, 624,176.40 and 256,320.80 is: 384,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,117.60 : 624,176.40 = 256,320.80 : x
  2. Step 2: Convert to fraction form
    416,117.60/624,176.40 = 256,320.80/x
  3. Step 3: Cross multiply
    416,117.60x = 624,176.40 × 256,320.80
  4. Step 4: Simplify right side
    416,117.60x = 159,989,394,189.12
  5. Step 5: Solve for x
    x = 159,989,394,189.12/416,117.60
  6. Step 6: Final answer
    x = 384,481.20

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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.