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Finding the Fourth Proportional to 310,302.33, 465,444.20 and 85,676.49

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Solution

The fourth proportional to 310,302.33, 465,444.20 and 85,676.49 is: 128,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,302.33 : 465,444.20 = 85,676.49 : x
  2. Step 2: Convert to fraction form
    310,302.33/465,444.20 = 85,676.49/x
  3. Step 3: Cross multiply
    310,302.33x = 465,444.20 × 85,676.49
  4. Step 4: Simplify right side
    310,302.33x = 39,877,624,918.48
  5. Step 5: Solve for x
    x = 39,877,624,918.48/310,302.33
  6. Step 6: Final answer
    x = 128,512.17

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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.