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Finding the Fourth Proportional to 209,984.77, 314,978.34 and 52,213.24

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Solution

The fourth proportional to 209,984.77, 314,978.34 and 52,213.24 is: 78,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,984.77 : 314,978.34 = 52,213.24 : x
  2. Step 2: Convert to fraction form
    209,984.77/314,978.34 = 52,213.24/x
  3. Step 3: Cross multiply
    209,984.77x = 314,978.34 × 52,213.24
  4. Step 4: Simplify right side
    209,984.77x = 16,446,039,661.22
  5. Step 5: Solve for x
    x = 16,446,039,661.22/209,984.77
  6. Step 6: Final answer
    x = 78,320.15

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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.