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Finding the Fourth Proportional to 613,436.97, 920,343.24 and 314,129.46

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Solution

The fourth proportional to 613,436.97, 920,343.24 and 314,129.46 is: 471,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,436.97 : 920,343.24 = 314,129.46 : x
  2. Step 2: Convert to fraction form
    613,436.97/920,343.24 = 314,129.46/x
  3. Step 3: Cross multiply
    613,436.97x = 920,343.24 × 314,129.46
  4. Step 4: Simplify right side
    613,436.97x = 289,106,924,995.85
  5. Step 5: Solve for x
    x = 289,106,924,995.85/613,436.97
  6. Step 6: Final answer
    x = 471,290.35

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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.