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Finding the Fourth Proportional to 310,089.85, 465,051.75 and 85,396.88

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Solution

The fourth proportional to 310,089.85, 465,051.75 and 85,396.88 is: 128,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,089.85 : 465,051.75 = 85,396.88 : x
  2. Step 2: Convert to fraction form
    310,089.85/465,051.75 = 85,396.88/x
  3. Step 3: Cross multiply
    310,089.85x = 465,051.75 × 85,396.88
  4. Step 4: Simplify right side
    310,089.85x = 39,713,969,330.93
  5. Step 5: Solve for x
    x = 39,713,969,330.93/310,089.85
  6. Step 6: Final answer
    x = 128,072.46

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1.5x scale

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.