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Finding the Fourth Proportional to 291,958.40, 402,902.70 and 157,822.40

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Solution

The fourth proportional to 291,958.40, 402,902.70 and 157,822.40 is: 217,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,958.40 : 402,902.70 = 157,822.40 : x
  2. Step 2: Convert to fraction form
    291,958.40/402,902.70 = 157,822.40/x
  3. Step 3: Cross multiply
    291,958.40x = 402,902.70 × 157,822.40
  4. Step 4: Simplify right side
    291,958.40x = 63,587,071,080.48
  5. Step 5: Solve for x
    x = 63,587,071,080.48/291,958.40
  6. Step 6: Final answer
    x = 217,794.97

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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.