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Finding the Fourth Proportional to 194,431.20, 291,646.80 and 144,664.80

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Solution

The fourth proportional to 194,431.20, 291,646.80 and 144,664.80 is: 216,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,431.20 : 291,646.80 = 144,664.80 : x
  2. Step 2: Convert to fraction form
    194,431.20/291,646.80 = 144,664.80/x
  3. Step 3: Cross multiply
    194,431.20x = 291,646.80 × 144,664.80
  4. Step 4: Simplify right side
    194,431.20x = 42,191,025,992.64
  5. Step 5: Solve for x
    x = 42,191,025,992.64/194,431.20
  6. Step 6: Final answer
    x = 216,997.20

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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.