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Finding the Fourth Proportional to 291,851.31, 402,737.47 and 169,334.21

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Solution

The fourth proportional to 291,851.31, 402,737.47 and 169,334.21 is: 233,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,851.31 : 402,737.47 = 169,334.21 : x
  2. Step 2: Convert to fraction form
    291,851.31/402,737.47 = 169,334.21/x
  3. Step 3: Cross multiply
    291,851.31x = 402,737.47 × 169,334.21
  4. Step 4: Simplify right side
    291,851.31x = 68,197,231,028.09
  5. Step 5: Solve for x
    x = 68,197,231,028.09/291,851.31
  6. Step 6: Final answer
    x = 233,671.15

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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.