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Finding the Fourth Proportional to 613,716.80, 920,665.92 and 314,366.72

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Solution

The fourth proportional to 613,716.80, 920,665.92 and 314,366.72 is: 471,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,716.80 : 920,665.92 = 314,366.72 : x
  2. Step 2: Convert to fraction form
    613,716.80/920,665.92 = 314,366.72/x
  3. Step 3: Cross multiply
    613,716.80x = 920,665.92 × 314,366.72
  4. Step 4: Simplify right side
    613,716.80x = 289,426,725,486.18
  5. Step 5: Solve for x
    x = 289,426,725,486.18/613,716.80
  6. Step 6: Final answer
    x = 471,596.55

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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.