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Finding the Fourth Proportional to 374,876.10, 517,316.16 and 213,783

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Solution

The fourth proportional to 374,876.10, 517,316.16 and 213,783 is: 295,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,876.10 : 517,316.16 = 213,783 : x
  2. Step 2: Convert to fraction form
    374,876.10/517,316.16 = 213,783/x
  3. Step 3: Cross multiply
    374,876.10x = 517,316.16 × 213,783
  4. Step 4: Simplify right side
    374,876.10x = 110,593,400,633.28
  5. Step 5: Solve for x
    x = 110,593,400,633.28/374,876.10
  6. Step 6: Final answer
    x = 295,013.21

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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.