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Finding the Fourth Proportional to 436,643.22, 654,964.80 and 121,100.12

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Solution

The fourth proportional to 436,643.22, 654,964.80 and 121,100.12 is: 181,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,643.22 : 654,964.80 = 121,100.12 : x
  2. Step 2: Convert to fraction form
    436,643.22/654,964.80 = 121,100.12/x
  3. Step 3: Cross multiply
    436,643.22x = 654,964.80 × 121,100.12
  4. Step 4: Simplify right side
    436,643.22x = 79,316,315,875.78
  5. Step 5: Solve for x
    x = 79,316,315,875.78/436,643.22
  6. Step 6: Final answer
    x = 181,650.17

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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.