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Finding the Fourth Proportional to 283,015.46, 424,523.19 and 72,653.40

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Solution

The fourth proportional to 283,015.46, 424,523.19 and 72,653.40 is: 108,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,015.46 : 424,523.19 = 72,653.40 : x
  2. Step 2: Convert to fraction form
    283,015.46/424,523.19 = 72,653.40/x
  3. Step 3: Cross multiply
    283,015.46x = 424,523.19 × 72,653.40
  4. Step 4: Simplify right side
    283,015.46x = 30,843,053,132.35
  5. Step 5: Solve for x
    x = 30,843,053,132.35/283,015.46
  6. Step 6: Final answer
    x = 108,980.10

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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.