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Finding the Fourth Proportional to 384,533.75, 576,421.54 and 135,040.79

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Solution

The fourth proportional to 384,533.75, 576,421.54 and 135,040.79 is: 202,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,533.75 : 576,421.54 = 135,040.79 : x
  2. Step 2: Convert to fraction form
    384,533.75/576,421.54 = 135,040.79/x
  3. Step 3: Cross multiply
    384,533.75x = 576,421.54 × 135,040.79
  4. Step 4: Simplify right side
    384,533.75x = 77,840,416,577.31
  5. Step 5: Solve for x
    x = 77,840,416,577.31/384,533.75
  6. Step 6: Final answer
    x = 202,428.05

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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.