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Finding the Fourth Proportional to 384,193.71, 530,258.83 and 220,945.80

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Solution

The fourth proportional to 384,193.71, 530,258.83 and 220,945.80 is: 304,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,193.71 : 530,258.83 = 220,945.80 : x
  2. Step 2: Convert to fraction form
    384,193.71/530,258.83 = 220,945.80/x
  3. Step 3: Cross multiply
    384,193.71x = 530,258.83 × 220,945.80
  4. Step 4: Simplify right side
    384,193.71x = 117,158,461,401.41
  5. Step 5: Solve for x
    x = 117,158,461,401.41/384,193.71
  6. Step 6: Final answer
    x = 304,946.33

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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.