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Finding the Fourth Proportional to 299,106.92, 413,314.98 and 284,528.36

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Solution

The fourth proportional to 299,106.92, 413,314.98 and 284,528.36 is: 393,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,106.92 : 413,314.98 = 284,528.36 : x
  2. Step 2: Convert to fraction form
    299,106.92/413,314.98 = 284,528.36/x
  3. Step 3: Cross multiply
    299,106.92x = 413,314.98 × 284,528.36
  4. Step 4: Simplify right side
    299,106.92x = 117,599,833,422.83
  5. Step 5: Solve for x
    x = 117,599,833,422.83/299,106.92
  6. Step 6: Final answer
    x = 393,169.89

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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.