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Finding the Fourth Proportional to 310,047.12, 464,978.25 and 120,536.91

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Solution

The fourth proportional to 310,047.12, 464,978.25 and 120,536.91 is: 180,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,047.12 : 464,978.25 = 120,536.91 : x
  2. Step 2: Convert to fraction form
    310,047.12/464,978.25 = 120,536.91/x
  3. Step 3: Cross multiply
    310,047.12x = 464,978.25 × 120,536.91
  4. Step 4: Simplify right side
    310,047.12x = 56,047,041,472.21
  5. Step 5: Solve for x
    x = 56,047,041,472.21/310,047.12
  6. Step 6: Final answer
    x = 180,769.43

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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.