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Finding the Fourth Proportional to 354,948.32, 489,871.64 and 202,023.70

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Solution

The fourth proportional to 354,948.32, 489,871.64 and 202,023.70 is: 278,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,948.32 : 489,871.64 = 202,023.70 : x
  2. Step 2: Convert to fraction form
    354,948.32/489,871.64 = 202,023.70/x
  3. Step 3: Cross multiply
    354,948.32x = 489,871.64 × 202,023.70
  4. Step 4: Simplify right side
    354,948.32x = 98,965,681,237.87
  5. Step 5: Solve for x
    x = 98,965,681,237.87/354,948.32
  6. Step 6: Final answer
    x = 278,817.16

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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.