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Finding the Fourth Proportional to 291,915.36, 402,843.78 and 157,779.36

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Solution

The fourth proportional to 291,915.36, 402,843.78 and 157,779.36 is: 217,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,915.36 : 402,843.78 = 157,779.36 : x
  2. Step 2: Convert to fraction form
    291,915.36/402,843.78 = 157,779.36/x
  3. Step 3: Cross multiply
    291,915.36x = 402,843.78 × 157,779.36
  4. Step 4: Simplify right side
    291,915.36x = 63,560,433,788.38
  5. Step 5: Solve for x
    x = 63,560,433,788.38/291,915.36
  6. Step 6: Final answer
    x = 217,735.83

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1.5x scale

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.