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Finding the Fourth Proportional to 310,487.10, 465,640.50 and 120,905.10

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Solution

The fourth proportional to 310,487.10, 465,640.50 and 120,905.10 is: 181,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,487.10 : 465,640.50 = 120,905.10 : x
  2. Step 2: Convert to fraction form
    310,487.10/465,640.50 = 120,905.10/x
  3. Step 3: Cross multiply
    310,487.10x = 465,640.50 × 120,905.10
  4. Step 4: Simplify right side
    310,487.10x = 56,298,311,216.55
  5. Step 5: Solve for x
    x = 56,298,311,216.55/310,487.10
  6. Step 6: Final answer
    x = 181,322.55

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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.