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Finding the Fourth Proportional to 310,291.74, 465,428.34 and 85,665.90

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Solution

The fourth proportional to 310,291.74, 465,428.34 and 85,665.90 is: 128,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,291.74 : 465,428.34 = 85,665.90 : x
  2. Step 2: Convert to fraction form
    310,291.74/465,428.34 = 85,665.90/x
  3. Step 3: Cross multiply
    310,291.74x = 465,428.34 × 85,665.90
  4. Step 4: Simplify right side
    310,291.74x = 39,871,337,631.61
  5. Step 5: Solve for x
    x = 39,871,337,631.61/310,291.74
  6. Step 6: Final answer
    x = 128,496.29

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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.