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Finding the Fourth Proportional to 378,024, 521,673.12 and 208,258.08

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Solution

The fourth proportional to 378,024, 521,673.12 and 208,258.08 is: 287,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,024 : 521,673.12 = 208,258.08 : x
  2. Step 2: Convert to fraction form
    378,024/521,673.12 = 208,258.08/x
  3. Step 3: Cross multiply
    378,024x = 521,673.12 × 208,258.08
  4. Step 4: Simplify right side
    378,024x = 108,642,642,358.81
  5. Step 5: Solve for x
    x = 108,642,642,358.81/378,024
  6. Step 6: Final answer
    x = 287,396.15

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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.