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Finding the Fourth Proportional to 247,712, 341,906.16 and 150,981.44

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Solution

The fourth proportional to 247,712, 341,906.16 and 150,981.44 is: 208,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,712 : 341,906.16 = 150,981.44 : x
  2. Step 2: Convert to fraction form
    247,712/341,906.16 = 150,981.44/x
  3. Step 3: Cross multiply
    247,712x = 341,906.16 × 150,981.44
  4. Step 4: Simplify right side
    247,712x = 51,621,484,381.67
  5. Step 5: Solve for x
    x = 51,621,484,381.67/247,712
  6. Step 6: Final answer
    x = 208,393.15

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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.