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Finding the Fourth Proportional to 277,242.72, 382,594.47 and 156,383.64

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Solution

The fourth proportional to 277,242.72, 382,594.47 and 156,383.64 is: 215,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,242.72 : 382,594.47 = 156,383.64 : x
  2. Step 2: Convert to fraction form
    277,242.72/382,594.47 = 156,383.64/x
  3. Step 3: Cross multiply
    277,242.72x = 382,594.47 × 156,383.64
  4. Step 4: Simplify right side
    277,242.72x = 59,831,515,862.47
  5. Step 5: Solve for x
    x = 59,831,515,862.47/277,242.72
  6. Step 6: Final answer
    x = 215,809.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.