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Finding the Fourth Proportional to 291,807.72, 402,694.02 and 157,671.72

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Solution

The fourth proportional to 291,807.72, 402,694.02 and 157,671.72 is: 217,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,807.72 : 402,694.02 = 157,671.72 : x
  2. Step 2: Convert to fraction form
    291,807.72/402,694.02 = 157,671.72/x
  3. Step 3: Cross multiply
    291,807.72x = 402,694.02 × 157,671.72
  4. Step 4: Simplify right side
    291,807.72x = 63,493,458,767.11
  5. Step 5: Solve for x
    x = 63,493,458,767.11/291,807.72
  6. Step 6: Final answer
    x = 217,586.63

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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.