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Finding the Fourth Proportional to 356,511, 491,985.18 and 213,277.08

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Solution

The fourth proportional to 356,511, 491,985.18 and 213,277.08 is: 294,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,511 : 491,985.18 = 213,277.08 : x
  2. Step 2: Convert to fraction form
    356,511/491,985.18 = 213,277.08/x
  3. Step 3: Cross multiply
    356,511x = 491,985.18 × 213,277.08
  4. Step 4: Simplify right side
    356,511x = 104,929,162,593.67
  5. Step 5: Solve for x
    x = 104,929,162,593.67/356,511
  6. Step 6: Final answer
    x = 294,322.37

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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.