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Finding the Fourth Proportional to 282,638.62, 390,022.95 and 161,780.86

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Solution

The fourth proportional to 282,638.62, 390,022.95 and 161,780.86 is: 223,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,638.62 : 390,022.95 = 161,780.86 : x
  2. Step 2: Convert to fraction form
    282,638.62/390,022.95 = 161,780.86/x
  3. Step 3: Cross multiply
    282,638.62x = 390,022.95 × 161,780.86
  4. Step 4: Simplify right side
    282,638.62x = 63,098,248,270.74
  5. Step 5: Solve for x
    x = 63,098,248,270.74/282,638.62
  6. Step 6: Final answer
    x = 223,247.09

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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.