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Finding the Fourth Proportional to 353,298.30, 487,564.48 and 202,424.46

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Solution

The fourth proportional to 353,298.30, 487,564.48 and 202,424.46 is: 279,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,298.30 : 487,564.48 = 202,424.46 : x
  2. Step 2: Convert to fraction form
    353,298.30/487,564.48 = 202,424.46/x
  3. Step 3: Cross multiply
    353,298.30x = 487,564.48 × 202,424.46
  4. Step 4: Simplify right side
    353,298.30x = 98,694,976,579.18
  5. Step 5: Solve for x
    x = 98,694,976,579.18/353,298.30
  6. Step 6: Final answer
    x = 279,353.10

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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.