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Finding the Fourth Proportional to 613,488.72, 919,806.17 and 271,746.62

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Solution

The fourth proportional to 613,488.72, 919,806.17 and 271,746.62 is: 407,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,488.72 : 919,806.17 = 271,746.62 : x
  2. Step 2: Convert to fraction form
    613,488.72/919,806.17 = 271,746.62/x
  3. Step 3: Cross multiply
    613,488.72x = 919,806.17 × 271,746.62
  4. Step 4: Simplify right side
    613,488.72x = 249,954,217,831.11
  5. Step 5: Solve for x
    x = 249,954,217,831.11/613,488.72
  6. Step 6: Final answer
    x = 407,430.83

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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.