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Finding the Fourth Proportional to 291,704.10, 402,551.91 and 157,568.10

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Solution

The fourth proportional to 291,704.10, 402,551.91 and 157,568.10 is: 217,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,704.10 : 402,551.91 = 157,568.10 : x
  2. Step 2: Convert to fraction form
    291,704.10/402,551.91 = 157,568.10/x
  3. Step 3: Cross multiply
    291,704.10x = 402,551.91 × 157,568.10
  4. Step 4: Simplify right side
    291,704.10x = 63,429,339,610.07
  5. Step 5: Solve for x
    x = 63,429,339,610.07/291,704.10
  6. Step 6: Final answer
    x = 217,444.11

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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.