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Finding the Fourth Proportional to 488,709, 732,833.45 and 189,329.76

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Solution

The fourth proportional to 488,709, 732,833.45 and 189,329.76 is: 283,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,709 : 732,833.45 = 189,329.76 : x
  2. Step 2: Convert to fraction form
    488,709/732,833.45 = 189,329.76/x
  3. Step 3: Cross multiply
    488,709x = 732,833.45 × 189,329.76
  4. Step 4: Simplify right side
    488,709x = 138,747,180,261.82
  5. Step 5: Solve for x
    x = 138,747,180,261.82/488,709
  6. Step 6: Final answer
    x = 283,905.51

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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.