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Finding the Fourth Proportional to 461,462.40, 692,128.80 and 145,951.20

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Solution

The fourth proportional to 461,462.40, 692,128.80 and 145,951.20 is: 218,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,462.40 : 692,128.80 = 145,951.20 : x
  2. Step 2: Convert to fraction form
    461,462.40/692,128.80 = 145,951.20/x
  3. Step 3: Cross multiply
    461,462.40x = 692,128.80 × 145,951.20
  4. Step 4: Simplify right side
    461,462.40x = 101,017,028,914.56
  5. Step 5: Solve for x
    x = 101,017,028,914.56/461,462.40
  6. Step 6: Final answer
    x = 218,906.31

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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.