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Finding the Fourth Proportional to 515,063.25, 772,807.50 and 278,126.91

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Solution

The fourth proportional to 515,063.25, 772,807.50 and 278,126.91 is: 417,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,063.25 : 772,807.50 = 278,126.91 : x
  2. Step 2: Convert to fraction form
    515,063.25/772,807.50 = 278,126.91/x
  3. Step 3: Cross multiply
    515,063.25x = 772,807.50 × 278,126.91
  4. Step 4: Simplify right side
    515,063.25x = 214,938,561,999.83
  5. Step 5: Solve for x
    x = 214,938,561,999.83/515,063.25
  6. Step 6: Final answer
    x = 417,305.18

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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.