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Finding the Fourth Proportional to 310,375.72, 465,528.34 and 85,767.99

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Solution

The fourth proportional to 310,375.72, 465,528.34 and 85,767.99 is: 128,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,375.72 : 465,528.34 = 85,767.99 : x
  2. Step 2: Convert to fraction form
    310,375.72/465,528.34 = 85,767.99/x
  3. Step 3: Cross multiply
    310,375.72x = 465,528.34 × 85,767.99
  4. Step 4: Simplify right side
    310,375.72x = 39,927,430,009.84
  5. Step 5: Solve for x
    x = 39,927,430,009.84/310,375.72
  6. Step 6: Final answer
    x = 128,642.25

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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.