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Finding the Fourth Proportional to 315,712.48, 435,605.16 and 202,688.32

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Solution

The fourth proportional to 315,712.48, 435,605.16 and 202,688.32 is: 279,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,712.48 : 435,605.16 = 202,688.32 : x
  2. Step 2: Convert to fraction form
    315,712.48/435,605.16 = 202,688.32/x
  3. Step 3: Cross multiply
    315,712.48x = 435,605.16 × 202,688.32
  4. Step 4: Simplify right side
    315,712.48x = 88,292,078,063.73
  5. Step 5: Solve for x
    x = 88,292,078,063.73/315,712.48
  6. Step 6: Final answer
    x = 279,659.77

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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.