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Finding the Fourth Proportional to 228,630.47, 315,664.02 and 142,720.25

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Solution

The fourth proportional to 228,630.47, 315,664.02 and 142,720.25 is: 197,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,630.47 : 315,664.02 = 142,720.25 : x
  2. Step 2: Convert to fraction form
    228,630.47/315,664.02 = 142,720.25/x
  3. Step 3: Cross multiply
    228,630.47x = 315,664.02 × 142,720.25
  4. Step 4: Simplify right side
    228,630.47x = 45,051,646,272.08
  5. Step 5: Solve for x
    x = 45,051,646,272.08/228,630.47
  6. Step 6: Final answer
    x = 197,050.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.