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Finding the Fourth Proportional to 460,545.81, 690,055 and 280,085.40

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Solution

The fourth proportional to 460,545.81, 690,055 and 280,085.40 is: 419,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,545.81 : 690,055 = 280,085.40 : x
  2. Step 2: Convert to fraction form
    460,545.81/690,055 = 280,085.40/x
  3. Step 3: Cross multiply
    460,545.81x = 690,055 × 280,085.40
  4. Step 4: Simplify right side
    460,545.81x = 193,274,330,697.00
  5. Step 5: Solve for x
    x = 193,274,330,697.00/460,545.81
  6. Step 6: Final answer
    x = 419,663.64

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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.