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Finding the Fourth Proportional to 380,843, 571,607.12 and 203,501.60

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Solution

The fourth proportional to 380,843, 571,607.12 and 203,501.60 is: 305,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,843 : 571,607.12 = 203,501.60 : x
  2. Step 2: Convert to fraction form
    380,843/571,607.12 = 203,501.60/x
  3. Step 3: Cross multiply
    380,843x = 571,607.12 × 203,501.60
  4. Step 4: Simplify right side
    380,843x = 116,322,963,491.39
  5. Step 5: Solve for x
    x = 116,322,963,491.39/380,843
  6. Step 6: Final answer
    x = 305,435.48

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1.5x scale

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.