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Finding the Fourth Proportional to 315,278.80, 472,918.20 and 310,094.80

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Solution

The fourth proportional to 315,278.80, 472,918.20 and 310,094.80 is: 465,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,278.80 : 472,918.20 = 310,094.80 : x
  2. Step 2: Convert to fraction form
    315,278.80/472,918.20 = 310,094.80/x
  3. Step 3: Cross multiply
    315,278.80x = 472,918.20 × 310,094.80
  4. Step 4: Simplify right side
    315,278.80x = 146,649,474,645.36
  5. Step 5: Solve for x
    x = 146,649,474,645.36/315,278.80
  6. Step 6: Final answer
    x = 465,142.20

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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.