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Finding the Fourth Proportional to 411,634, 617,275.86 and 253,820.08

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Solution

The fourth proportional to 411,634, 617,275.86 and 253,820.08 is: 380,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,634 : 617,275.86 = 253,820.08 : x
  2. Step 2: Convert to fraction form
    411,634/617,275.86 = 253,820.08/x
  3. Step 3: Cross multiply
    411,634x = 617,275.86 × 253,820.08
  4. Step 4: Simplify right side
    411,634x = 156,677,008,167.27
  5. Step 5: Solve for x
    x = 156,677,008,167.27/411,634
  6. Step 6: Final answer
    x = 380,622.13

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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.