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Finding the Fourth Proportional to 291,920.78, 402,850.68 and 157,784.78

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Solution

The fourth proportional to 291,920.78, 402,850.68 and 157,784.78 is: 217,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,920.78 : 402,850.68 = 157,784.78 : x
  2. Step 2: Convert to fraction form
    291,920.78/402,850.68 = 157,784.78/x
  3. Step 3: Cross multiply
    291,920.78x = 402,850.68 × 157,784.78
  4. Step 4: Simplify right side
    291,920.78x = 63,563,705,916.65
  5. Step 5: Solve for x
    x = 63,563,705,916.65/291,920.78
  6. Step 6: Final answer
    x = 217,743.00

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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.