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Finding the Fourth Proportional to 384,577, 576,865.50 and 121,921

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Solution

The fourth proportional to 384,577, 576,865.50 and 121,921 is: 182,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,577 : 576,865.50 = 121,921 : x
  2. Step 2: Convert to fraction form
    384,577/576,865.50 = 121,921/x
  3. Step 3: Cross multiply
    384,577x = 576,865.50 × 121,921
  4. Step 4: Simplify right side
    384,577x = 70,332,018,625.50
  5. Step 5: Solve for x
    x = 70,332,018,625.50/384,577
  6. Step 6: Final answer
    x = 182,881.50

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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.