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Finding the Fourth Proportional to 445,907.60, 668,942.40 and 146,304.80

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Solution

The fourth proportional to 445,907.60, 668,942.40 and 146,304.80 is: 219,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,907.60 : 668,942.40 = 146,304.80 : x
  2. Step 2: Convert to fraction form
    445,907.60/668,942.40 = 146,304.80/x
  3. Step 3: Cross multiply
    445,907.60x = 668,942.40 × 146,304.80
  4. Step 4: Simplify right side
    445,907.60x = 97,869,484,043.52
  5. Step 5: Solve for x
    x = 97,869,484,043.52/445,907.60
  6. Step 6: Final answer
    x = 219,483.78

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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.