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Finding the Fourth Proportional to 240,444, 360,431.60 and 100,242.72

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Solution

The fourth proportional to 240,444, 360,431.60 and 100,242.72 is: 150,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,444 : 360,431.60 = 100,242.72 : x
  2. Step 2: Convert to fraction form
    240,444/360,431.60 = 100,242.72/x
  3. Step 3: Cross multiply
    240,444x = 360,431.60 × 100,242.72
  4. Step 4: Simplify right side
    240,444x = 36,130,643,957.95
  5. Step 5: Solve for x
    x = 36,130,643,957.95/240,444
  6. Step 6: Final answer
    x = 150,266.36

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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.