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Finding the Fourth Proportional to 535,097.71, 738,406.62 and 305,609.87

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Solution

The fourth proportional to 535,097.71, 738,406.62 and 305,609.87 is: 421,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,097.71 : 738,406.62 = 305,609.87 : x
  2. Step 2: Convert to fraction form
    535,097.71/738,406.62 = 305,609.87/x
  3. Step 3: Cross multiply
    535,097.71x = 738,406.62 × 305,609.87
  4. Step 4: Simplify right side
    535,097.71x = 225,664,351,145.34
  5. Step 5: Solve for x
    x = 225,664,351,145.34/535,097.71
  6. Step 6: Final answer
    x = 421,725.50

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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.