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Finding the Fourth Proportional to 413,288.86, 570,314.87 and 231,983.90

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Solution

The fourth proportional to 413,288.86, 570,314.87 and 231,983.90 is: 320,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,288.86 : 570,314.87 = 231,983.90 : x
  2. Step 2: Convert to fraction form
    413,288.86/570,314.87 = 231,983.90/x
  3. Step 3: Cross multiply
    413,288.86x = 570,314.87 × 231,983.90
  4. Step 4: Simplify right side
    413,288.86x = 132,303,867,770.59
  5. Step 5: Solve for x
    x = 132,303,867,770.59/413,288.86
  6. Step 6: Final answer
    x = 320,124.45

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1.5x scale

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.