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Finding the Fourth Proportional to 387,347.29, 581,054.41 and 106,864.54

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Solution

The fourth proportional to 387,347.29, 581,054.41 and 106,864.54 is: 160,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,347.29 : 581,054.41 = 106,864.54 : x
  2. Step 2: Convert to fraction form
    387,347.29/581,054.41 = 106,864.54/x
  3. Step 3: Cross multiply
    387,347.29x = 581,054.41 × 106,864.54
  4. Step 4: Simplify right side
    387,347.29x = 62,094,112,239.62
  5. Step 5: Solve for x
    x = 62,094,112,239.62/387,347.29
  6. Step 6: Final answer
    x = 160,306.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.