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Finding the Fourth Proportional to 352,901.16, 486,948.78 and 209,657.52

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Solution

The fourth proportional to 352,901.16, 486,948.78 and 209,657.52 is: 289,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,901.16 : 486,948.78 = 209,657.52 : x
  2. Step 2: Convert to fraction form
    352,901.16/486,948.78 = 209,657.52/x
  3. Step 3: Cross multiply
    352,901.16x = 486,948.78 × 209,657.52
  4. Step 4: Simplify right side
    352,901.16x = 102,092,473,581.83
  5. Step 5: Solve for x
    x = 102,092,473,581.83/352,901.16
  6. Step 6: Final answer
    x = 289,294.81

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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.