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Finding the Fourth Proportional to 470,972.94, 649,959.72 and 269,807.82

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Solution

The fourth proportional to 470,972.94, 649,959.72 and 269,807.82 is: 372,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,972.94 : 649,959.72 = 269,807.82 : x
  2. Step 2: Convert to fraction form
    470,972.94/649,959.72 = 269,807.82/x
  3. Step 3: Cross multiply
    470,972.94x = 649,959.72 × 269,807.82
  4. Step 4: Simplify right side
    470,972.94x = 175,364,215,141.01
  5. Step 5: Solve for x
    x = 175,364,215,141.01/470,972.94
  6. Step 6: Final answer
    x = 372,344.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.