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Finding the Fourth Proportional to 559,947.60, 839,265.30 and 419,542.20

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Solution

The fourth proportional to 559,947.60, 839,265.30 and 419,542.20 is: 628,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,947.60 : 839,265.30 = 419,542.20 : x
  2. Step 2: Convert to fraction form
    559,947.60/839,265.30 = 419,542.20/x
  3. Step 3: Cross multiply
    559,947.60x = 839,265.30 × 419,542.20
  4. Step 4: Simplify right side
    559,947.60x = 352,107,210,345.66
  5. Step 5: Solve for x
    x = 352,107,210,345.66/559,947.60
  6. Step 6: Final answer
    x = 628,821.72

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Double scale
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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.