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Finding the Fourth Proportional to 475,435.39, 654,928.98 and 407,230.15

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Solution

The fourth proportional to 475,435.39, 654,928.98 and 407,230.15 is: 560,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,435.39 : 654,928.98 = 407,230.15 : x
  2. Step 2: Convert to fraction form
    475,435.39/654,928.98 = 407,230.15/x
  3. Step 3: Cross multiply
    475,435.39x = 654,928.98 × 407,230.15
  4. Step 4: Simplify right side
    475,435.39x = 266,706,826,764.75
  5. Step 5: Solve for x
    x = 266,706,826,764.75/475,435.39
  6. Step 6: Final answer
    x = 560,973.86

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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.