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Finding the Fourth Proportional to 613,116.66, 919,862.25 and 313,809.31

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Solution

The fourth proportional to 613,116.66, 919,862.25 and 313,809.31 is: 470,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,116.66 : 919,862.25 = 313,809.31 : x
  2. Step 2: Convert to fraction form
    613,116.66/919,862.25 = 313,809.31/x
  3. Step 3: Cross multiply
    613,116.66x = 919,862.25 × 313,809.31
  4. Step 4: Simplify right side
    613,116.66x = 288,661,335,667.89
  5. Step 5: Solve for x
    x = 288,661,335,667.89/613,116.66
  6. Step 6: Final answer
    x = 470,809.81

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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.