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Finding the Fourth Proportional to 460,140.40, 690,074.40 and 207,274.72

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Solution

The fourth proportional to 460,140.40, 690,074.40 and 207,274.72 is: 310,850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,140.40 : 690,074.40 = 207,274.72 : x
  2. Step 2: Convert to fraction form
    460,140.40/690,074.40 = 207,274.72/x
  3. Step 3: Cross multiply
    460,140.40x = 690,074.40 × 207,274.72
  4. Step 4: Simplify right side
    460,140.40x = 143,034,978,039.17
  5. Step 5: Solve for x
    x = 143,034,978,039.17/460,140.40
  6. Step 6: Final answer
    x = 310,850.73

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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.