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Finding the Fourth Proportional to 297,897.65, 411,095.86 and 221,757.24

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Solution

The fourth proportional to 297,897.65, 411,095.86 and 221,757.24 is: 306,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,897.65 : 411,095.86 = 221,757.24 : x
  2. Step 2: Convert to fraction form
    297,897.65/411,095.86 = 221,757.24/x
  3. Step 3: Cross multiply
    297,897.65x = 411,095.86 × 221,757.24
  4. Step 4: Simplify right side
    297,897.65x = 91,163,484,276.24
  5. Step 5: Solve for x
    x = 91,163,484,276.24/297,897.65
  6. Step 6: Final answer
    x = 306,022.84

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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.