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Finding the Fourth Proportional to 310,390.20, 465,580.69 and 85,745.66

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Solution

The fourth proportional to 310,390.20, 465,580.69 and 85,745.66 is: 128,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,390.20 : 465,580.69 = 85,745.66 : x
  2. Step 2: Convert to fraction form
    310,390.20/465,580.69 = 85,745.66/x
  3. Step 3: Cross multiply
    310,390.20x = 465,580.69 × 85,745.66
  4. Step 4: Simplify right side
    310,390.20x = 39,921,523,547.31
  5. Step 5: Solve for x
    x = 39,921,523,547.31/310,390.20
  6. Step 6: Final answer
    x = 128,617.22

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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.