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Finding the Fourth Proportional to 387,383.82, 534,603.42 and 215,305.20

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Solution

The fourth proportional to 387,383.82, 534,603.42 and 215,305.20 is: 297,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,383.82 : 534,603.42 = 215,305.20 : x
  2. Step 2: Convert to fraction form
    387,383.82/534,603.42 = 215,305.20/x
  3. Step 3: Cross multiply
    387,383.82x = 534,603.42 × 215,305.20
  4. Step 4: Simplify right side
    387,383.82x = 115,102,896,263.78
  5. Step 5: Solve for x
    x = 115,102,896,263.78/387,383.82
  6. Step 6: Final answer
    x = 297,128.82

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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.