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Finding the Fourth Proportional to 380,069.97, 524,460.83 and 257,312.62

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Solution

The fourth proportional to 380,069.97, 524,460.83 and 257,312.62 is: 355,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,069.97 : 524,460.83 = 257,312.62 : x
  2. Step 2: Convert to fraction form
    380,069.97/524,460.83 = 257,312.62/x
  3. Step 3: Cross multiply
    380,069.97x = 524,460.83 × 257,312.62
  4. Step 4: Simplify right side
    380,069.97x = 134,950,390,254.68
  5. Step 5: Solve for x
    x = 134,950,390,254.68/380,069.97
  6. Step 6: Final answer
    x = 355,067.23

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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.