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Finding the Fourth Proportional to 285,347.97, 393,779.43 and 164,488.59

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Solution

The fourth proportional to 285,347.97, 393,779.43 and 164,488.59 is: 226,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,347.97 : 393,779.43 = 164,488.59 : x
  2. Step 2: Convert to fraction form
    285,347.97/393,779.43 = 164,488.59/x
  3. Step 3: Cross multiply
    285,347.97x = 393,779.43 × 164,488.59
  4. Step 4: Simplify right side
    285,347.97x = 64,772,223,211.70
  5. Step 5: Solve for x
    x = 64,772,223,211.70/285,347.97
  6. Step 6: Final answer
    x = 226,993.81

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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.