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Finding the Fourth Proportional to 460,925.60, 691,388.40 and 287,866.40

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Solution

The fourth proportional to 460,925.60, 691,388.40 and 287,866.40 is: 431,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,925.60 : 691,388.40 = 287,866.40 : x
  2. Step 2: Convert to fraction form
    460,925.60/691,388.40 = 287,866.40/x
  3. Step 3: Cross multiply
    460,925.60x = 691,388.40 × 287,866.40
  4. Step 4: Simplify right side
    460,925.60x = 199,027,489,709.76
  5. Step 5: Solve for x
    x = 199,027,489,709.76/460,925.60
  6. Step 6: Final answer
    x = 431,799.60

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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.