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Finding the Fourth Proportional to 287,898.94, 397,301.10 and 160,582.78

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Solution

The fourth proportional to 287,898.94, 397,301.10 and 160,582.78 is: 221,604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,898.94 : 397,301.10 = 160,582.78 : x
  2. Step 2: Convert to fraction form
    287,898.94/397,301.10 = 160,582.78/x
  3. Step 3: Cross multiply
    287,898.94x = 397,301.10 × 160,582.78
  4. Step 4: Simplify right side
    287,898.94x = 63,799,715,135.06
  5. Step 5: Solve for x
    x = 63,799,715,135.06/287,898.94
  6. Step 6: Final answer
    x = 221,604.55

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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.