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Finding the Fourth Proportional to 310,071.02, 465,014.08 and 120,560.78

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Solution

The fourth proportional to 310,071.02, 465,014.08 and 120,560.78 is: 180,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,071.02 : 465,014.08 = 120,560.78 : x
  2. Step 2: Convert to fraction form
    310,071.02/465,014.08 = 120,560.78/x
  3. Step 3: Cross multiply
    310,071.02x = 465,014.08 × 120,560.78
  4. Step 4: Simplify right side
    310,071.02x = 56,062,460,195.78
  5. Step 5: Solve for x
    x = 56,062,460,195.78/310,071.02
  6. Step 6: Final answer
    x = 180,805.22

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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.