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Finding the Fourth Proportional to 314,034.35, 471,051.78 and 77,377.06

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Solution

The fourth proportional to 314,034.35, 471,051.78 and 77,377.06 is: 116,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,034.35 : 471,051.78 = 77,377.06 : x
  2. Step 2: Convert to fraction form
    314,034.35/471,051.78 = 77,377.06/x
  3. Step 3: Cross multiply
    314,034.35x = 471,051.78 × 77,377.06
  4. Step 4: Simplify right side
    314,034.35x = 36,448,600,811.62
  5. Step 5: Solve for x
    x = 36,448,600,811.62/314,034.35
  6. Step 6: Final answer
    x = 116,065.65

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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.