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Finding the Fourth Proportional to 515,712.80, 772,532.40 and 293,837.60

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Solution

The fourth proportional to 515,712.80, 772,532.40 and 293,837.60 is: 440,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,712.80 : 772,532.40 = 293,837.60 : x
  2. Step 2: Convert to fraction form
    515,712.80/772,532.40 = 293,837.60/x
  3. Step 3: Cross multiply
    515,712.80x = 772,532.40 × 293,837.60
  4. Step 4: Simplify right side
    515,712.80x = 226,999,066,338.24
  5. Step 5: Solve for x
    x = 226,999,066,338.24/515,712.80
  6. Step 6: Final answer
    x = 440,165.66

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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.