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Finding the Fourth Proportional to 354,437.80, 489,123.86 and 193,293.16

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Solution

The fourth proportional to 354,437.80, 489,123.86 and 193,293.16 is: 266,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,437.80 : 489,123.86 = 193,293.16 : x
  2. Step 2: Convert to fraction form
    354,437.80/489,123.86 = 193,293.16/x
  3. Step 3: Cross multiply
    354,437.80x = 489,123.86 × 193,293.16
  4. Step 4: Simplify right side
    354,437.80x = 94,544,296,530.80
  5. Step 5: Solve for x
    x = 94,544,296,530.80/354,437.80
  6. Step 6: Final answer
    x = 266,744.40

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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.