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Finding the Fourth Proportional to 352,970.74, 487,170.48 and 209,703.16

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Solution

The fourth proportional to 352,970.74, 487,170.48 and 209,703.16 is: 289,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,970.74 : 487,170.48 = 209,703.16 : x
  2. Step 2: Convert to fraction form
    352,970.74/487,170.48 = 209,703.16/x
  3. Step 3: Cross multiply
    352,970.74x = 487,170.48 × 209,703.16
  4. Step 4: Simplify right side
    352,970.74x = 102,161,189,114.72
  5. Step 5: Solve for x
    x = 102,161,189,114.72/352,970.74
  6. Step 6: Final answer
    x = 289,432.46

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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.