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Finding the Fourth Proportional to 470,632.32, 649,529.28 and 269,424

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Solution

The fourth proportional to 470,632.32, 649,529.28 and 269,424 is: 371,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,632.32 : 649,529.28 = 269,424 : x
  2. Step 2: Convert to fraction form
    470,632.32/649,529.28 = 269,424/x
  3. Step 3: Cross multiply
    470,632.32x = 649,529.28 × 269,424
  4. Step 4: Simplify right side
    470,632.32x = 174,998,776,734.72
  5. Step 5: Solve for x
    x = 174,998,776,734.72/470,632.32
  6. Step 6: Final answer
    x = 371,837.57

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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.