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Finding the Fourth Proportional to 314,338.19, 471,502.67 and 77,680.86

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Solution

The fourth proportional to 314,338.19, 471,502.67 and 77,680.86 is: 116,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,338.19 : 471,502.67 = 77,680.86 : x
  2. Step 2: Convert to fraction form
    314,338.19/471,502.67 = 77,680.86/x
  3. Step 3: Cross multiply
    314,338.19x = 471,502.67 × 77,680.86
  4. Step 4: Simplify right side
    314,338.19x = 36,626,732,509.49
  5. Step 5: Solve for x
    x = 36,626,732,509.49/314,338.19
  6. Step 6: Final answer
    x = 116,520.15

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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.