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Finding the Fourth Proportional to 279,256.78, 415,726.52 and 277,596.01

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Solution

The fourth proportional to 279,256.78, 415,726.52 and 277,596.01 is: 413,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,256.78 : 415,726.52 = 277,596.01 : x
  2. Step 2: Convert to fraction form
    279,256.78/415,726.52 = 277,596.01/x
  3. Step 3: Cross multiply
    279,256.78x = 415,726.52 × 277,596.01
  4. Step 4: Simplify right side
    279,256.78x = 115,404,023,203.19
  5. Step 5: Solve for x
    x = 115,404,023,203.19/279,256.78
  6. Step 6: Final answer
    x = 413,254.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.