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Finding the Fourth Proportional to 578,405.22, 866,477.86 and 398,458.86

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Solution

The fourth proportional to 578,405.22, 866,477.86 and 398,458.86 is: 596,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,405.22 : 866,477.86 = 398,458.86 : x
  2. Step 2: Convert to fraction form
    578,405.22/866,477.86 = 398,458.86/x
  3. Step 3: Cross multiply
    578,405.22x = 866,477.86 × 398,458.86
  4. Step 4: Simplify right side
    578,405.22x = 345,255,780,310.84
  5. Step 5: Solve for x
    x = 345,255,780,310.84/578,405.22
  6. Step 6: Final answer
    x = 596,909.86

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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.