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Finding the Fourth Proportional to 285,155, 393,601.50 and 164,377.02

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Solution

The fourth proportional to 285,155, 393,601.50 and 164,377.02 is: 226,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,155 : 393,601.50 = 164,377.02 : x
  2. Step 2: Convert to fraction form
    285,155/393,601.50 = 164,377.02/x
  3. Step 3: Cross multiply
    285,155x = 393,601.50 × 164,377.02
  4. Step 4: Simplify right side
    285,155x = 64,699,041,637.53
  5. Step 5: Solve for x
    x = 64,699,041,637.53/285,155
  6. Step 6: Final answer
    x = 226,890.78

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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.