Home / 409,184.78-613,383.50-209,599.16

Finding the Fourth Proportional to 409,184.78, 613,383.50 and 209,599.16

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Solution

The fourth proportional to 409,184.78, 613,383.50 and 209,599.16 is: 314,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,184.78 : 613,383.50 = 209,599.16 : x
  2. Step 2: Convert to fraction form
    409,184.78/613,383.50 = 209,599.16/x
  3. Step 3: Cross multiply
    409,184.78x = 613,383.50 × 209,599.16
  4. Step 4: Simplify right side
    409,184.78x = 128,564,666,357.86
  5. Step 5: Solve for x
    x = 128,564,666,357.86/409,184.78
  6. Step 6: Final answer
    x = 314,197.09

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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.