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Finding the Fourth Proportional to 422,053.60, 633,080.40 and 141,503.20

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Solution

The fourth proportional to 422,053.60, 633,080.40 and 141,503.20 is: 212,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,053.60 : 633,080.40 = 141,503.20 : x
  2. Step 2: Convert to fraction form
    422,053.60/633,080.40 = 141,503.20/x
  3. Step 3: Cross multiply
    422,053.60x = 633,080.40 × 141,503.20
  4. Step 4: Simplify right side
    422,053.60x = 89,582,902,457.28
  5. Step 5: Solve for x
    x = 89,582,902,457.28/422,053.60
  6. Step 6: Final answer
    x = 212,254.80

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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.