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Finding the Fourth Proportional to 262,213, 393,320.94 and 65,221

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Solution

The fourth proportional to 262,213, 393,320.94 and 65,221 is: 97,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,213 : 393,320.94 = 65,221 : x
  2. Step 2: Convert to fraction form
    262,213/393,320.94 = 65,221/x
  3. Step 3: Cross multiply
    262,213x = 393,320.94 × 65,221
  4. Step 4: Simplify right side
    262,213x = 25,652,785,027.74
  5. Step 5: Solve for x
    x = 25,652,785,027.74/262,213
  6. Step 6: Final answer
    x = 97,831.86

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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.