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Finding the Fourth Proportional to 379,205.48, 523,258.80 and 209,429.48

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Solution

The fourth proportional to 379,205.48, 523,258.80 and 209,429.48 is: 288,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,205.48 : 523,258.80 = 209,429.48 : x
  2. Step 2: Convert to fraction form
    379,205.48/523,258.80 = 209,429.48/x
  3. Step 3: Cross multiply
    379,205.48x = 523,258.80 × 209,429.48
  4. Step 4: Simplify right side
    379,205.48x = 109,585,818,389.42
  5. Step 5: Solve for x
    x = 109,585,818,389.42/379,205.48
  6. Step 6: Final answer
    x = 288,987.96

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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.