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Finding the Fourth Proportional to 277,293.57, 382,668.81 and 156,434.48

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Solution

The fourth proportional to 277,293.57, 382,668.81 and 156,434.48 is: 215,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,293.57 : 382,668.81 = 156,434.48 : x
  2. Step 2: Convert to fraction form
    277,293.57/382,668.81 = 156,434.48/x
  3. Step 3: Cross multiply
    277,293.57x = 382,668.81 × 156,434.48
  4. Step 4: Simplify right side
    277,293.57x = 59,862,594,391.22
  5. Step 5: Solve for x
    x = 59,862,594,391.22/277,293.57
  6. Step 6: Final answer
    x = 215,881.65

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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.