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Finding the Fourth Proportional to 380,070.22, 524,461.17 and 257,312.87

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Solution

The fourth proportional to 380,070.22, 524,461.17 and 257,312.87 is: 355,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,070.22 : 524,461.17 = 257,312.87 : x
  2. Step 2: Convert to fraction form
    380,070.22/524,461.17 = 257,312.87/x
  3. Step 3: Cross multiply
    380,070.22x = 524,461.17 × 257,312.87
  4. Step 4: Simplify right side
    380,070.22x = 134,950,608,856.26
  5. Step 5: Solve for x
    x = 134,950,608,856.26/380,070.22
  6. Step 6: Final answer
    x = 355,067.57

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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.