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Finding the Fourth Proportional to 387,552.72, 534,844.80 and 258,266.64

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Solution

The fourth proportional to 387,552.72, 534,844.80 and 258,266.64 is: 356,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,552.72 : 534,844.80 = 258,266.64 : x
  2. Step 2: Convert to fraction form
    387,552.72/534,844.80 = 258,266.64/x
  3. Step 3: Cross multiply
    387,552.72x = 534,844.80 × 258,266.64
  4. Step 4: Simplify right side
    387,552.72x = 138,132,569,417.47
  5. Step 5: Solve for x
    x = 138,132,569,417.47/387,552.72
  6. Step 6: Final answer
    x = 356,422.66

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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.