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Finding the Fourth Proportional to 461,445.60, 692,168.40 and 145,999.20

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Solution

The fourth proportional to 461,445.60, 692,168.40 and 145,999.20 is: 218,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,445.60 : 692,168.40 = 145,999.20 : x
  2. Step 2: Convert to fraction form
    461,445.60/692,168.40 = 145,999.20/x
  3. Step 3: Cross multiply
    461,445.60x = 692,168.40 × 145,999.20
  4. Step 4: Simplify right side
    461,445.60x = 101,056,032,665.28
  5. Step 5: Solve for x
    x = 101,056,032,665.28/461,445.60
  6. Step 6: Final answer
    x = 218,998.80

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Similar ratio
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1.5x scale

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.