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Finding the Fourth Proportional to 461,940.80, 692,932.80 and 146,422.40

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Solution

The fourth proportional to 461,940.80, 692,932.80 and 146,422.40 is: 219,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,940.80 : 692,932.80 = 146,422.40 : x
  2. Step 2: Convert to fraction form
    461,940.80/692,932.80 = 146,422.40/x
  3. Step 3: Cross multiply
    461,940.80x = 692,932.80 × 146,422.40
  4. Step 4: Simplify right side
    461,940.80x = 101,460,883,614.72
  5. Step 5: Solve for x
    x = 101,460,883,614.72/461,940.80
  6. Step 6: Final answer
    x = 219,640.45

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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.