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Finding the Fourth Proportional to 338,500.71, 467,178.89 and 209,480.74

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Solution

The fourth proportional to 338,500.71, 467,178.89 and 209,480.74 is: 289,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,500.71 : 467,178.89 = 209,480.74 : x
  2. Step 2: Convert to fraction form
    338,500.71/467,178.89 = 209,480.74/x
  3. Step 3: Cross multiply
    338,500.71x = 467,178.89 × 209,480.74
  4. Step 4: Simplify right side
    338,500.71x = 97,864,977,374.23
  5. Step 5: Solve for x
    x = 97,864,977,374.23/338,500.71
  6. Step 6: Final answer
    x = 289,113.06

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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.