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Finding the Fourth Proportional to 291,787.62, 402,642.78 and 164,494.50

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Solution

The fourth proportional to 291,787.62, 402,642.78 and 164,494.50 is: 226,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,787.62 : 402,642.78 = 164,494.50 : x
  2. Step 2: Convert to fraction form
    291,787.62/402,642.78 = 164,494.50/x
  3. Step 3: Cross multiply
    291,787.62x = 402,642.78 × 164,494.50
  4. Step 4: Simplify right side
    291,787.62x = 66,232,522,774.71
  5. Step 5: Solve for x
    x = 66,232,522,774.71/291,787.62
  6. Step 6: Final answer
    x = 226,988.80

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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.