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Finding the Fourth Proportional to 460,409.40, 690,478.02 and 207,543.96

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Solution

The fourth proportional to 460,409.40, 690,478.02 and 207,543.96 is: 311,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,409.40 : 690,478.02 = 207,543.96 : x
  2. Step 2: Convert to fraction form
    460,409.40/690,478.02 = 207,543.96/x
  3. Step 3: Cross multiply
    460,409.40x = 690,478.02 × 207,543.96
  4. Step 4: Simplify right side
    460,409.40x = 143,304,542,563.76
  5. Step 5: Solve for x
    x = 143,304,542,563.76/460,409.40
  6. Step 6: Final answer
    x = 311,254.60

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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.