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Finding the Fourth Proportional to 387,234.45, 534,376.80 and 215,154

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Solution

The fourth proportional to 387,234.45, 534,376.80 and 215,154 is: 296,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,234.45 : 534,376.80 = 215,154 : x
  2. Step 2: Convert to fraction form
    387,234.45/534,376.80 = 215,154/x
  3. Step 3: Cross multiply
    387,234.45x = 534,376.80 × 215,154
  4. Step 4: Simplify right side
    387,234.45x = 114,973,306,027.20
  5. Step 5: Solve for x
    x = 114,973,306,027.20/387,234.45
  6. Step 6: Final answer
    x = 296,908.77

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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.