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Finding the Fourth Proportional to 313,958.16, 470,938.32 and 77,306.40

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Solution

The fourth proportional to 313,958.16, 470,938.32 and 77,306.40 is: 115,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,958.16 : 470,938.32 = 77,306.40 : x
  2. Step 2: Convert to fraction form
    313,958.16/470,938.32 = 77,306.40/x
  3. Step 3: Cross multiply
    313,958.16x = 470,938.32 × 77,306.40
  4. Step 4: Simplify right side
    313,958.16x = 36,406,546,141.25
  5. Step 5: Solve for x
    x = 36,406,546,141.25/313,958.16
  6. Step 6: Final answer
    x = 115,959.87

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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.