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Finding the Fourth Proportional to 284,349.42, 426,522.78 and 73,987.02

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Solution

The fourth proportional to 284,349.42, 426,522.78 and 73,987.02 is: 110,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,349.42 : 426,522.78 = 73,987.02 : x
  2. Step 2: Convert to fraction form
    284,349.42/426,522.78 = 73,987.02/x
  3. Step 3: Cross multiply
    284,349.42x = 426,522.78 × 73,987.02
  4. Step 4: Simplify right side
    284,349.42x = 31,557,149,454.32
  5. Step 5: Solve for x
    x = 31,557,149,454.32/284,349.42
  6. Step 6: Final answer
    x = 110,980.18

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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.