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Finding the Fourth Proportional to 460,084.37, 690,130.91 and 287,028.68

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Solution

The fourth proportional to 460,084.37, 690,130.91 and 287,028.68 is: 430,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,084.37 : 690,130.91 = 287,028.68 : x
  2. Step 2: Convert to fraction form
    460,084.37/690,130.91 = 287,028.68/x
  3. Step 3: Cross multiply
    460,084.37x = 690,130.91 × 287,028.68
  4. Step 4: Simplify right side
    460,084.37x = 198,087,361,391.42
  5. Step 5: Solve for x
    x = 198,087,361,391.42/460,084.37
  6. Step 6: Final answer
    x = 430,545.74

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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.