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Finding the Fourth Proportional to 220,475.72, 304,406.70 and 147,987.20

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Solution

The fourth proportional to 220,475.72, 304,406.70 and 147,987.20 is: 204,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,475.72 : 304,406.70 = 147,987.20 : x
  2. Step 2: Convert to fraction form
    220,475.72/304,406.70 = 147,987.20/x
  3. Step 3: Cross multiply
    220,475.72x = 304,406.70 × 147,987.20
  4. Step 4: Simplify right side
    220,475.72x = 45,048,295,194.24
  5. Step 5: Solve for x
    x = 45,048,295,194.24/220,475.72
  6. Step 6: Final answer
    x = 204,323.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.