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Finding the Fourth Proportional to 425,643.60, 638,465.40 and 188,734.80

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Solution

The fourth proportional to 425,643.60, 638,465.40 and 188,734.80 is: 283,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,643.60 : 638,465.40 = 188,734.80 : x
  2. Step 2: Convert to fraction form
    425,643.60/638,465.40 = 188,734.80/x
  3. Step 3: Cross multiply
    425,643.60x = 638,465.40 × 188,734.80
  4. Step 4: Simplify right side
    425,643.60x = 120,500,639,575.92
  5. Step 5: Solve for x
    x = 120,500,639,575.92/425,643.60
  6. Step 6: Final answer
    x = 283,102.20

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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.