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Finding the Fourth Proportional to 340,765.70, 470,258.58 and 197,610.74

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Solution

The fourth proportional to 340,765.70, 470,258.58 and 197,610.74 is: 272,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,765.70 : 470,258.58 = 197,610.74 : x
  2. Step 2: Convert to fraction form
    340,765.70/470,258.58 = 197,610.74/x
  3. Step 3: Cross multiply
    340,765.70x = 470,258.58 × 197,610.74
  4. Step 4: Simplify right side
    340,765.70x = 92,928,145,985.15
  5. Step 5: Solve for x
    x = 92,928,145,985.15/340,765.70
  6. Step 6: Final answer
    x = 272,703.93

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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.