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Finding the Fourth Proportional to 313,867.80, 470,801.70 and 77,207.40

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Solution

The fourth proportional to 313,867.80, 470,801.70 and 77,207.40 is: 115,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,867.80 : 470,801.70 = 77,207.40 : x
  2. Step 2: Convert to fraction form
    313,867.80/470,801.70 = 77,207.40/x
  3. Step 3: Cross multiply
    313,867.80x = 470,801.70 × 77,207.40
  4. Step 4: Simplify right side
    313,867.80x = 36,349,375,172.58
  5. Step 5: Solve for x
    x = 36,349,375,172.58/313,867.80
  6. Step 6: Final answer
    x = 115,811.10

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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.