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Finding the Fourth Proportional to 279,245.90, 415,710.52 and 277,585.16

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Solution

The fourth proportional to 279,245.90, 415,710.52 and 277,585.16 is: 413,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,245.90 : 415,710.52 = 277,585.16 : x
  2. Step 2: Convert to fraction form
    279,245.90/415,710.52 = 277,585.16/x
  3. Step 3: Cross multiply
    279,245.90x = 415,710.52 × 277,585.16
  4. Step 4: Simplify right side
    279,245.90x = 115,395,071,207.88
  5. Step 5: Solve for x
    x = 115,395,071,207.88/279,245.90
  6. Step 6: Final answer
    x = 413,238.19

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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.