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Finding the Fourth Proportional to 387,827.20, 535,192.32 and 253,688.32

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Solution

The fourth proportional to 387,827.20, 535,192.32 and 253,688.32 is: 350,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,827.20 : 535,192.32 = 253,688.32 : x
  2. Step 2: Convert to fraction form
    387,827.20/535,192.32 = 253,688.32/x
  3. Step 3: Cross multiply
    387,827.20x = 535,192.32 × 253,688.32
  4. Step 4: Simplify right side
    387,827.20x = 135,772,040,537.70
  5. Step 5: Solve for x
    x = 135,772,040,537.70/387,827.20
  6. Step 6: Final answer
    x = 350,083.85

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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.