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Finding the Fourth Proportional to 379,241.73, 523,309.01 and 209,465.73

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Solution

The fourth proportional to 379,241.73, 523,309.01 and 209,465.73 is: 289,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,241.73 : 523,309.01 = 209,465.73 : x
  2. Step 2: Convert to fraction form
    379,241.73/523,309.01 = 209,465.73/x
  3. Step 3: Cross multiply
    379,241.73x = 523,309.01 × 209,465.73
  4. Step 4: Simplify right side
    379,241.73x = 109,615,302,747.90
  5. Step 5: Solve for x
    x = 109,615,302,747.90/379,241.73
  6. Step 6: Final answer
    x = 289,038.08

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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.