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Finding the Fourth Proportional to 304,666.40, 457,129.20 and 146,813.60

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Solution

The fourth proportional to 304,666.40, 457,129.20 and 146,813.60 is: 220,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,666.40 : 457,129.20 = 146,813.60 : x
  2. Step 2: Convert to fraction form
    304,666.40/457,129.20 = 146,813.60/x
  3. Step 3: Cross multiply
    304,666.40x = 457,129.20 × 146,813.60
  4. Step 4: Simplify right side
    304,666.40x = 67,112,783,517.12
  5. Step 5: Solve for x
    x = 67,112,783,517.12/304,666.40
  6. Step 6: Final answer
    x = 220,282.85

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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.