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Finding the Fourth Proportional to 283,078.23, 424,620.99 and 83,353.20

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Solution

The fourth proportional to 283,078.23, 424,620.99 and 83,353.20 is: 125,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,078.23 : 424,620.99 = 83,353.20 : x
  2. Step 2: Convert to fraction form
    283,078.23/424,620.99 = 83,353.20/x
  3. Step 3: Cross multiply
    283,078.23x = 424,620.99 × 83,353.20
  4. Step 4: Simplify right side
    283,078.23x = 35,393,518,303.67
  5. Step 5: Solve for x
    x = 35,393,518,303.67/283,078.23
  6. Step 6: Final answer
    x = 125,030.87

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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.