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Finding the Fourth Proportional to 380,353.77, 524,883.78 and 208,270.08

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Solution

The fourth proportional to 380,353.77, 524,883.78 and 208,270.08 is: 287,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,353.77 : 524,883.78 = 208,270.08 : x
  2. Step 2: Convert to fraction form
    380,353.77/524,883.78 = 208,270.08/x
  3. Step 3: Cross multiply
    380,353.77x = 524,883.78 × 208,270.08
  4. Step 4: Simplify right side
    380,353.77x = 109,317,586,851.30
  5. Step 5: Solve for x
    x = 109,317,586,851.30/380,353.77
  6. Step 6: Final answer
    x = 287,410.29

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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.