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Finding the Fourth Proportional to 305,205.20, 457,807.80 and 118,216.70

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Solution

The fourth proportional to 305,205.20, 457,807.80 and 118,216.70 is: 177,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,205.20 : 457,807.80 = 118,216.70 : x
  2. Step 2: Convert to fraction form
    305,205.20/457,807.80 = 118,216.70/x
  3. Step 3: Cross multiply
    305,205.20x = 457,807.80 × 118,216.70
  4. Step 4: Simplify right side
    305,205.20x = 54,120,525,061.22
  5. Step 5: Solve for x
    x = 54,120,525,061.22/305,205.20
  6. Step 6: Final answer
    x = 177,325.05

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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.