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Finding the Fourth Proportional to 358,906.47, 495,312.98 and 197,761.47

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Solution

The fourth proportional to 358,906.47, 495,312.98 and 197,761.47 is: 272,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,906.47 : 495,312.98 = 197,761.47 : x
  2. Step 2: Convert to fraction form
    358,906.47/495,312.98 = 197,761.47/x
  3. Step 3: Cross multiply
    358,906.47x = 495,312.98 × 197,761.47
  4. Step 4: Simplify right side
    358,906.47x = 97,953,823,034.88
  5. Step 5: Solve for x
    x = 97,953,823,034.88/358,906.47
  6. Step 6: Final answer
    x = 272,922.98

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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.