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Finding the Fourth Proportional to 416,221.80, 624,307.07 and 256,328.21

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Solution

The fourth proportional to 416,221.80, 624,307.07 and 256,328.21 is: 384,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,221.80 : 624,307.07 = 256,328.21 : x
  2. Step 2: Convert to fraction form
    416,221.80/624,307.07 = 256,328.21/x
  3. Step 3: Cross multiply
    416,221.80x = 624,307.07 × 256,328.21
  4. Step 4: Simplify right side
    416,221.80x = 160,027,509,340.27
  5. Step 5: Solve for x
    x = 160,027,509,340.27/416,221.80
  6. Step 6: Final answer
    x = 384,476.52

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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.