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Finding the Fourth Proportional to 283,470.19, 425,205.87 and 266,149.15

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Solution

The fourth proportional to 283,470.19, 425,205.87 and 266,149.15 is: 399,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,470.19 : 425,205.87 = 266,149.15 : x
  2. Step 2: Convert to fraction form
    283,470.19/425,205.87 = 266,149.15/x
  3. Step 3: Cross multiply
    283,470.19x = 425,205.87 × 266,149.15
  4. Step 4: Simplify right side
    283,470.19x = 113,168,180,875.51
  5. Step 5: Solve for x
    x = 113,168,180,875.51/283,470.19
  6. Step 6: Final answer
    x = 399,224.27

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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.