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Finding the Fourth Proportional to 460,827.60, 691,241.40 and 271,870.80

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Solution

The fourth proportional to 460,827.60, 691,241.40 and 271,870.80 is: 407,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,827.60 : 691,241.40 = 271,870.80 : x
  2. Step 2: Convert to fraction form
    460,827.60/691,241.40 = 271,870.80/x
  3. Step 3: Cross multiply
    460,827.60x = 691,241.40 × 271,870.80
  4. Step 4: Simplify right side
    460,827.60x = 187,928,352,411.12
  5. Step 5: Solve for x
    x = 187,928,352,411.12/460,827.60
  6. Step 6: Final answer
    x = 407,806.20

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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.