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Finding the Fourth Proportional to 313,876.26, 470,810.34 and 77,221.02

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Solution

The fourth proportional to 313,876.26, 470,810.34 and 77,221.02 is: 115,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,876.26 : 470,810.34 = 77,221.02 : x
  2. Step 2: Convert to fraction form
    313,876.26/470,810.34 = 77,221.02/x
  3. Step 3: Cross multiply
    313,876.26x = 470,810.34 × 77,221.02
  4. Step 4: Simplify right side
    313,876.26x = 36,356,454,681.35
  5. Step 5: Solve for x
    x = 36,356,454,681.35/313,876.26
  6. Step 6: Final answer
    x = 115,830.53

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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.