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Finding the Fourth Proportional to 305,838.71, 421,887.20 and 284,189.24

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Solution

The fourth proportional to 305,838.71, 421,887.20 and 284,189.24 is: 392,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,838.71 : 421,887.20 = 284,189.24 : x
  2. Step 2: Convert to fraction form
    305,838.71/421,887.20 = 284,189.24/x
  3. Step 3: Cross multiply
    305,838.71x = 421,887.20 × 284,189.24
  4. Step 4: Simplify right side
    305,838.71x = 119,895,802,303.42
  5. Step 5: Solve for x
    x = 119,895,802,303.42/305,838.71
  6. Step 6: Final answer
    x = 392,022.97

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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.