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Finding the Fourth Proportional to 345,798, 518,497.74 and 135,321.12

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Solution

The fourth proportional to 345,798, 518,497.74 and 135,321.12 is: 202,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,798 : 518,497.74 = 135,321.12 : x
  2. Step 2: Convert to fraction form
    345,798/518,497.74 = 135,321.12/x
  3. Step 3: Cross multiply
    345,798x = 518,497.74 × 135,321.12
  4. Step 4: Simplify right side
    345,798x = 70,163,694,894.27
  5. Step 5: Solve for x
    x = 70,163,694,894.27/345,798
  6. Step 6: Final answer
    x = 202,903.70

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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.