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Finding the Fourth Proportional to 317,223.76, 475,960.18 and 139,606.18

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Solution

The fourth proportional to 317,223.76, 475,960.18 and 139,606.18 is: 209,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,223.76 : 475,960.18 = 139,606.18 : x
  2. Step 2: Convert to fraction form
    317,223.76/475,960.18 = 139,606.18/x
  3. Step 3: Cross multiply
    317,223.76x = 475,960.18 × 139,606.18
  4. Step 4: Simplify right side
    317,223.76x = 66,446,982,561.91
  5. Step 5: Solve for x
    x = 66,446,982,561.91/317,223.76
  6. Step 6: Final answer
    x = 209,464.08

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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.