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Finding the Fourth Proportional to 387,297.28, 581,023.68 and 176,878.72

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Solution

The fourth proportional to 387,297.28, 581,023.68 and 176,878.72 is: 265,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,297.28 : 581,023.68 = 176,878.72 : x
  2. Step 2: Convert to fraction form
    387,297.28/581,023.68 = 176,878.72/x
  3. Step 3: Cross multiply
    387,297.28x = 581,023.68 × 176,878.72
  4. Step 4: Simplify right side
    387,297.28x = 102,770,724,808.09
  5. Step 5: Solve for x
    x = 102,770,724,808.09/387,297.28
  6. Step 6: Final answer
    x = 265,353.59

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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.