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Finding the Fourth Proportional to 314,335.94, 471,499.29 and 77,678.61

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Solution

The fourth proportional to 314,335.94, 471,499.29 and 77,678.61 is: 116,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,335.94 : 471,499.29 = 77,678.61 : x
  2. Step 2: Convert to fraction form
    314,335.94/471,499.29 = 77,678.61/x
  3. Step 3: Cross multiply
    314,335.94x = 471,499.29 × 77,678.61
  4. Step 4: Simplify right side
    314,335.94x = 36,625,409,463.19
  5. Step 5: Solve for x
    x = 36,625,409,463.19/314,335.94
  6. Step 6: Final answer
    x = 116,516.78

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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.