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Finding the Fourth Proportional to 210,634.79, 315,956.30 and 98,284.48

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Solution

The fourth proportional to 210,634.79, 315,956.30 and 98,284.48 is: 147,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,634.79 : 315,956.30 = 98,284.48 : x
  2. Step 2: Convert to fraction form
    210,634.79/315,956.30 = 98,284.48/x
  3. Step 3: Cross multiply
    210,634.79x = 315,956.30 × 98,284.48
  4. Step 4: Simplify right side
    210,634.79x = 31,053,599,366.91
  5. Step 5: Solve for x
    x = 31,053,599,366.91/210,634.79
  6. Step 6: Final answer
    x = 147,428.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.