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Finding the Fourth Proportional to 378,969.38, 522,978.75 and 209,203.50

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Solution

The fourth proportional to 378,969.38, 522,978.75 and 209,203.50 is: 288,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,969.38 : 522,978.75 = 209,203.50 : x
  2. Step 2: Convert to fraction form
    378,969.38/522,978.75 = 209,203.50/x
  3. Step 3: Cross multiply
    378,969.38x = 522,978.75 × 209,203.50
  4. Step 4: Simplify right side
    378,969.38x = 109,408,984,925.63
  5. Step 5: Solve for x
    x = 109,408,984,925.63/378,969.38
  6. Step 6: Final answer
    x = 288,701.39

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1.5x scale

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.