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Finding the Fourth Proportional to 291,864.78, 402,772.64 and 157,728.78

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Solution

The fourth proportional to 291,864.78, 402,772.64 and 157,728.78 is: 217,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,864.78 : 402,772.64 = 157,728.78 : x
  2. Step 2: Convert to fraction form
    291,864.78/402,772.64 = 157,728.78/x
  3. Step 3: Cross multiply
    291,864.78x = 402,772.64 × 157,728.78
  4. Step 4: Simplify right side
    291,864.78x = 63,528,836,335.94
  5. Step 5: Solve for x
    x = 63,528,836,335.94/291,864.78
  6. Step 6: Final answer
    x = 217,665.30

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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.