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Finding the Fourth Proportional to 499,206.60, 748,907.10 and 214,896.60

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Solution

The fourth proportional to 499,206.60, 748,907.10 and 214,896.60 is: 322,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,206.60 : 748,907.10 = 214,896.60 : x
  2. Step 2: Convert to fraction form
    499,206.60/748,907.10 = 214,896.60/x
  3. Step 3: Cross multiply
    499,206.60x = 748,907.10 × 214,896.60
  4. Step 4: Simplify right side
    499,206.60x = 160,937,589,505.86
  5. Step 5: Solve for x
    x = 160,937,589,505.86/499,206.60
  6. Step 6: Final answer
    x = 322,386.74

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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.