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Finding the Fourth Proportional to 416,530.80, 624,650.40 and 216,784.80

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Solution

The fourth proportional to 416,530.80, 624,650.40 and 216,784.80 is: 325,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,530.80 : 624,650.40 = 216,784.80 : x
  2. Step 2: Convert to fraction form
    416,530.80/624,650.40 = 216,784.80/x
  3. Step 3: Cross multiply
    416,530.80x = 624,650.40 × 216,784.80
  4. Step 4: Simplify right side
    416,530.80x = 135,414,712,033.92
  5. Step 5: Solve for x
    x = 135,414,712,033.92/416,530.80
  6. Step 6: Final answer
    x = 325,101.32

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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.