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Finding the Fourth Proportional to 283,565.84, 391,311.60 and 162,705.20

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Solution

The fourth proportional to 283,565.84, 391,311.60 and 162,705.20 is: 224,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,565.84 : 391,311.60 = 162,705.20 : x
  2. Step 2: Convert to fraction form
    283,565.84/391,311.60 = 162,705.20/x
  3. Step 3: Cross multiply
    283,565.84x = 391,311.60 × 162,705.20
  4. Step 4: Simplify right side
    283,565.84x = 63,668,432,140.32
  5. Step 5: Solve for x
    x = 63,668,432,140.32/283,565.84
  6. Step 6: Final answer
    x = 224,527.86

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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.