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Finding the Fourth Proportional to 291,955.40, 402,898.56 and 157,819.40

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Solution

The fourth proportional to 291,955.40, 402,898.56 and 157,819.40 is: 217,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,955.40 : 402,898.56 = 157,819.40 : x
  2. Step 2: Convert to fraction form
    291,955.40/402,898.56 = 157,819.40/x
  3. Step 3: Cross multiply
    291,955.40x = 402,898.56 × 157,819.40
  4. Step 4: Simplify right side
    291,955.40x = 63,585,209,000.06
  5. Step 5: Solve for x
    x = 63,585,209,000.06/291,955.40
  6. Step 6: Final answer
    x = 217,790.83

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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.