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Finding the Fourth Proportional to 291,807.28, 402,693.88 and 157,671.28

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Solution

The fourth proportional to 291,807.28, 402,693.88 and 157,671.28 is: 217,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,807.28 : 402,693.88 = 157,671.28 : x
  2. Step 2: Convert to fraction form
    291,807.28/402,693.88 = 157,671.28/x
  3. Step 3: Cross multiply
    291,807.28x = 402,693.88 × 157,671.28
  4. Step 4: Simplify right side
    291,807.28x = 63,493,259,507.77
  5. Step 5: Solve for x
    x = 63,493,259,507.77/291,807.28
  6. Step 6: Final answer
    x = 217,586.28

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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.