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Finding the Fourth Proportional to 209,988.78, 314,984.34 and 52,217.24

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Solution

The fourth proportional to 209,988.78, 314,984.34 and 52,217.24 is: 78,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,988.78 : 314,984.34 = 52,217.24 : x
  2. Step 2: Convert to fraction form
    209,988.78/314,984.34 = 52,217.24/x
  3. Step 3: Cross multiply
    209,988.78x = 314,984.34 × 52,217.24
  4. Step 4: Simplify right side
    209,988.78x = 16,447,612,878.02
  5. Step 5: Solve for x
    x = 16,447,612,878.02/209,988.78
  6. Step 6: Final answer
    x = 78,326.15

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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.