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Finding the Fourth Proportional to 352,898.91, 486,945.68 and 209,655.27

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Solution

The fourth proportional to 352,898.91, 486,945.68 and 209,655.27 is: 289,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,898.91 : 486,945.68 = 209,655.27 : x
  2. Step 2: Convert to fraction form
    352,898.91/486,945.68 = 209,655.27/x
  3. Step 3: Cross multiply
    352,898.91x = 486,945.68 × 209,655.27
  4. Step 4: Simplify right side
    352,898.91x = 102,090,726,967.46
  5. Step 5: Solve for x
    x = 102,090,726,967.46/352,898.91
  6. Step 6: Final answer
    x = 289,291.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.