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Finding the Fourth Proportional to 358,970.78, 495,378.52 and 197,825.78

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Solution

The fourth proportional to 358,970.78, 495,378.52 and 197,825.78 is: 272,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,970.78 : 495,378.52 = 197,825.78 : x
  2. Step 2: Convert to fraction form
    358,970.78/495,378.52 = 197,825.78/x
  3. Step 3: Cross multiply
    358,970.78x = 495,378.52 × 197,825.78
  4. Step 4: Simplify right side
    358,970.78x = 97,998,639,142.79
  5. Step 5: Solve for x
    x = 97,998,639,142.79/358,970.78
  6. Step 6: Final answer
    x = 272,998.93

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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.