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Finding the Fourth Proportional to 277,437.79, 415,910.65 and 135,203.51

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Solution

The fourth proportional to 277,437.79, 415,910.65 and 135,203.51 is: 202,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,437.79 : 415,910.65 = 135,203.51 : x
  2. Step 2: Convert to fraction form
    277,437.79/415,910.65 = 135,203.51/x
  3. Step 3: Cross multiply
    277,437.79x = 415,910.65 × 135,203.51
  4. Step 4: Simplify right side
    277,437.79x = 56,232,580,681.66
  5. Step 5: Solve for x
    x = 56,232,580,681.66/277,437.79
  6. Step 6: Final answer
    x = 202,685.37

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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.