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Finding the Fourth Proportional to 283,397.40, 425,441.70 and 281,323.80

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Solution

The fourth proportional to 283,397.40, 425,441.70 and 281,323.80 is: 422,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,397.40 : 425,441.70 = 281,323.80 : x
  2. Step 2: Convert to fraction form
    283,397.40/425,441.70 = 281,323.80/x
  3. Step 3: Cross multiply
    283,397.40x = 425,441.70 × 281,323.80
  4. Step 4: Simplify right side
    283,397.40x = 119,686,875,722.46
  5. Step 5: Solve for x
    x = 119,686,875,722.46/283,397.40
  6. Step 6: Final answer
    x = 422,328.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.