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Finding the Fourth Proportional to 315,722.88, 435,746.88 and 202,665.60

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Solution

The fourth proportional to 315,722.88, 435,746.88 and 202,665.60 is: 279,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,722.88 : 435,746.88 = 202,665.60 : x
  2. Step 2: Convert to fraction form
    315,722.88/435,746.88 = 202,665.60/x
  3. Step 3: Cross multiply
    315,722.88x = 435,746.88 × 202,665.60
  4. Step 4: Simplify right side
    315,722.88x = 88,310,902,883.33
  5. Step 5: Solve for x
    x = 88,310,902,883.33/315,722.88
  6. Step 6: Final answer
    x = 279,710.18

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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.