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Finding the Fourth Proportional to 352,969.74, 487,169.10 and 209,702.16

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Solution

The fourth proportional to 352,969.74, 487,169.10 and 209,702.16 is: 289,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,969.74 : 487,169.10 = 209,702.16 : x
  2. Step 2: Convert to fraction form
    352,969.74/487,169.10 = 209,702.16/x
  3. Step 3: Cross multiply
    352,969.74x = 487,169.10 × 209,702.16
  4. Step 4: Simplify right side
    352,969.74x = 102,160,412,555.26
  5. Step 5: Solve for x
    x = 102,160,412,555.26/352,969.74
  6. Step 6: Final answer
    x = 289,431.08

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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.