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Finding the Fourth Proportional to 299,875.87, 413,828.35 and 163,910.71

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Solution

The fourth proportional to 299,875.87, 413,828.35 and 163,910.71 is: 226,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,875.87 : 413,828.35 = 163,910.71 : x
  2. Step 2: Convert to fraction form
    299,875.87/413,828.35 = 163,910.71/x
  3. Step 3: Cross multiply
    299,875.87x = 413,828.35 × 163,910.71
  4. Step 4: Simplify right side
    299,875.87x = 67,830,898,666.63
  5. Step 5: Solve for x
    x = 67,830,898,666.63/299,875.87
  6. Step 6: Final answer
    x = 226,196.59

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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.