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Finding the Fourth Proportional to 387,833.02, 581,762.25 and 107,326.78

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Solution

The fourth proportional to 387,833.02, 581,762.25 and 107,326.78 is: 160,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,833.02 : 581,762.25 = 107,326.78 : x
  2. Step 2: Convert to fraction form
    387,833.02/581,762.25 = 107,326.78/x
  3. Step 3: Cross multiply
    387,833.02x = 581,762.25 × 107,326.78
  4. Step 4: Simplify right side
    387,833.02x = 62,438,669,018.06
  5. Step 5: Solve for x
    x = 62,438,669,018.06/387,833.02
  6. Step 6: Final answer
    x = 160,993.69

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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.