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Finding the Fourth Proportional to 356,417.12, 491,919 and 213,192.92

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Solution

The fourth proportional to 356,417.12, 491,919 and 213,192.92 is: 294,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,417.12 : 491,919 = 213,192.92 : x
  2. Step 2: Convert to fraction form
    356,417.12/491,919 = 213,192.92/x
  3. Step 3: Cross multiply
    356,417.12x = 491,919 × 213,192.92
  4. Step 4: Simplify right side
    356,417.12x = 104,873,648,013.48
  5. Step 5: Solve for x
    x = 104,873,648,013.48/356,417.12
  6. Step 6: Final answer
    x = 294,244.14

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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.