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Finding the Fourth Proportional to 446,400.72, 669,643.61 and 146,883.78

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Solution

The fourth proportional to 446,400.72, 669,643.61 and 146,883.78 is: 220,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,400.72 : 669,643.61 = 146,883.78 : x
  2. Step 2: Convert to fraction form
    446,400.72/669,643.61 = 146,883.78/x
  3. Step 3: Cross multiply
    446,400.72x = 669,643.61 × 146,883.78
  4. Step 4: Simplify right side
    446,400.72x = 98,359,783,955.23
  5. Step 5: Solve for x
    x = 98,359,783,955.23/446,400.72
  6. Step 6: Final answer
    x = 220,339.66

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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.