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Finding the Fourth Proportional to 291,680.46, 402,448.59 and 164,356.05

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Solution

The fourth proportional to 291,680.46, 402,448.59 and 164,356.05 is: 226,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,680.46 : 402,448.59 = 164,356.05 : x
  2. Step 2: Convert to fraction form
    291,680.46/402,448.59 = 164,356.05/x
  3. Step 3: Cross multiply
    291,680.46x = 402,448.59 × 164,356.05
  4. Step 4: Simplify right side
    291,680.46x = 66,144,860,580.47
  5. Step 5: Solve for x
    x = 66,144,860,580.47/291,680.46
  6. Step 6: Final answer
    x = 226,771.65

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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.