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Finding the Fourth Proportional to 340,951.68, 470,480.40 and 197,721

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Solution

The fourth proportional to 340,951.68, 470,480.40 and 197,721 is: 272,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,951.68 : 470,480.40 = 197,721 : x
  2. Step 2: Convert to fraction form
    340,951.68/470,480.40 = 197,721/x
  3. Step 3: Cross multiply
    340,951.68x = 470,480.40 × 197,721
  4. Step 4: Simplify right side
    340,951.68x = 93,023,855,168.40
  5. Step 5: Solve for x
    x = 93,023,855,168.40/340,951.68
  6. Step 6: Final answer
    x = 272,835.89

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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.