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Finding the Fourth Proportional to 653,486.11, 980,289.71 and 254,156.92

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Solution

The fourth proportional to 653,486.11, 980,289.71 and 254,156.92 is: 381,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,486.11 : 980,289.71 = 254,156.92 : x
  2. Step 2: Convert to fraction form
    653,486.11/980,289.71 = 254,156.92/x
  3. Step 3: Cross multiply
    653,486.11x = 980,289.71 × 254,156.92
  4. Step 4: Simplify right side
    653,486.11x = 249,147,413,401.29
  5. Step 5: Solve for x
    x = 249,147,413,401.29/653,486.11
  6. Step 6: Final answer
    x = 381,258.93

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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.