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Finding the Fourth Proportional to 277,308.81, 415,963.19 and 90,320.31

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Solution

The fourth proportional to 277,308.81, 415,963.19 and 90,320.31 is: 135,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,308.81 : 415,963.19 = 90,320.31 : x
  2. Step 2: Convert to fraction form
    277,308.81/415,963.19 = 90,320.31/x
  3. Step 3: Cross multiply
    277,308.81x = 415,963.19 × 90,320.31
  4. Step 4: Simplify right side
    277,308.81x = 37,569,924,495.19
  5. Step 5: Solve for x
    x = 37,569,924,495.19/277,308.81
  6. Step 6: Final answer
    x = 135,480.46

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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.