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Finding the Fourth Proportional to 380,205, 571,045.62 and 279,969.32

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Solution

The fourth proportional to 380,205, 571,045.62 and 279,969.32 is: 420,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,205 : 571,045.62 = 279,969.32 : x
  2. Step 2: Convert to fraction form
    380,205/571,045.62 = 279,969.32/x
  3. Step 3: Cross multiply
    380,205x = 571,045.62 × 279,969.32
  4. Step 4: Simplify right side
    380,205x = 159,875,253,920.38
  5. Step 5: Solve for x
    x = 159,875,253,920.38/380,205
  6. Step 6: Final answer
    x = 420,497.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.