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Finding the Fourth Proportional to 338,727.60, 508,091.40 and 283,615.20

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Solution

The fourth proportional to 338,727.60, 508,091.40 and 283,615.20 is: 425,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,727.60 : 508,091.40 = 283,615.20 : x
  2. Step 2: Convert to fraction form
    338,727.60/508,091.40 = 283,615.20/x
  3. Step 3: Cross multiply
    338,727.60x = 508,091.40 × 283,615.20
  4. Step 4: Simplify right side
    338,727.60x = 144,102,444,029.28
  5. Step 5: Solve for x
    x = 144,102,444,029.28/338,727.60
  6. Step 6: Final answer
    x = 425,422.80

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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.