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Finding the Fourth Proportional to 506,287.16, 698,651.73 and 288,546.81

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Solution

The fourth proportional to 506,287.16, 698,651.73 and 288,546.81 is: 398,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,287.16 : 698,651.73 = 288,546.81 : x
  2. Step 2: Convert to fraction form
    506,287.16/698,651.73 = 288,546.81/x
  3. Step 3: Cross multiply
    506,287.16x = 698,651.73 × 288,546.81
  4. Step 4: Simplify right side
    506,287.16x = 201,593,725,372.54
  5. Step 5: Solve for x
    x = 201,593,725,372.54/506,287.16
  6. Step 6: Final answer
    x = 398,180.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.