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Finding the Fourth Proportional to 356,468, 491,925.84 and 213,234.08

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Solution

The fourth proportional to 356,468, 491,925.84 and 213,234.08 is: 294,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,468 : 491,925.84 = 213,234.08 : x
  2. Step 2: Convert to fraction form
    356,468/491,925.84 = 213,234.08/x
  3. Step 3: Cross multiply
    356,468x = 491,925.84 × 213,234.08
  4. Step 4: Simplify right side
    356,468x = 104,895,353,920.63
  5. Step 5: Solve for x
    x = 104,895,353,920.63/356,468
  6. Step 6: Final answer
    x = 294,263.03

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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.