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Finding the Fourth Proportional to 310,340, 465,537 and 85,700.72

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Solution

The fourth proportional to 310,340, 465,537 and 85,700.72 is: 128,558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,340 : 465,537 = 85,700.72 : x
  2. Step 2: Convert to fraction form
    310,340/465,537 = 85,700.72/x
  3. Step 3: Cross multiply
    310,340x = 465,537 × 85,700.72
  4. Step 4: Simplify right side
    310,340x = 39,896,856,086.64
  5. Step 5: Solve for x
    x = 39,896,856,086.64/310,340
  6. Step 6: Final answer
    x = 128,558.54

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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.