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Finding the Fourth Proportional to 352,813.70, 486,924.64 and 209,574.32

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Solution

The fourth proportional to 352,813.70, 486,924.64 and 209,574.32 is: 289,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,813.70 : 486,924.64 = 209,574.32 : x
  2. Step 2: Convert to fraction form
    352,813.70/486,924.64 = 209,574.32/x
  3. Step 3: Cross multiply
    352,813.70x = 486,924.64 × 209,574.32
  4. Step 4: Simplify right side
    352,813.70x = 102,046,900,319.25
  5. Step 5: Solve for x
    x = 102,046,900,319.25/352,813.70
  6. Step 6: Final answer
    x = 289,237.35

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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.