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Finding the Fourth Proportional to 446,902.40, 670,353.60 and 147,429.20

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Solution

The fourth proportional to 446,902.40, 670,353.60 and 147,429.20 is: 221,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,902.40 : 670,353.60 = 147,429.20 : x
  2. Step 2: Convert to fraction form
    446,902.40/670,353.60 = 147,429.20/x
  3. Step 3: Cross multiply
    446,902.40x = 670,353.60 × 147,429.20
  4. Step 4: Simplify right side
    446,902.40x = 98,829,694,965.12
  5. Step 5: Solve for x
    x = 98,829,694,965.12/446,902.40
  6. Step 6: Final answer
    x = 221,143.80

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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.