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Finding the Fourth Proportional to 390,500.87, 586,293.41 and 201,096.65

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Solution

The fourth proportional to 390,500.87, 586,293.41 and 201,096.65 is: 301,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,500.87 : 586,293.41 = 201,096.65 : x
  2. Step 2: Convert to fraction form
    390,500.87/586,293.41 = 201,096.65/x
  3. Step 3: Cross multiply
    390,500.87x = 586,293.41 × 201,096.65
  4. Step 4: Simplify right side
    390,500.87x = 117,901,642,636.55
  5. Step 5: Solve for x
    x = 117,901,642,636.55/390,500.87
  6. Step 6: Final answer
    x = 301,924.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.