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Finding the Fourth Proportional to 310,040.70, 465,125.85 and 99,699.90

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Solution

The fourth proportional to 310,040.70, 465,125.85 and 99,699.90 is: 149,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,040.70 : 465,125.85 = 99,699.90 : x
  2. Step 2: Convert to fraction form
    310,040.70/465,125.85 = 99,699.90/x
  3. Step 3: Cross multiply
    310,040.70x = 465,125.85 × 99,699.90
  4. Step 4: Simplify right side
    310,040.70x = 46,373,000,732.42
  5. Step 5: Solve for x
    x = 46,373,000,732.42/310,040.70
  6. Step 6: Final answer
    x = 149,570.69

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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.