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Finding the Fourth Proportional to 219,000.78, 302,221.44 and 118,398.78

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Solution

The fourth proportional to 219,000.78, 302,221.44 and 118,398.78 is: 163,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,000.78 : 302,221.44 = 118,398.78 : x
  2. Step 2: Convert to fraction form
    219,000.78/302,221.44 = 118,398.78/x
  3. Step 3: Cross multiply
    219,000.78x = 302,221.44 × 118,398.78
  4. Step 4: Simplify right side
    219,000.78x = 35,782,649,785.84
  5. Step 5: Solve for x
    x = 35,782,649,785.84/219,000.78
  6. Step 6: Final answer
    x = 163,390.51

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1.5x scale

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.