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Finding the Fourth Proportional to 436,208.09, 654,312.13 and 120,656.79

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Solution

The fourth proportional to 436,208.09, 654,312.13 and 120,656.79 is: 180,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,208.09 : 654,312.13 = 120,656.79 : x
  2. Step 2: Convert to fraction form
    436,208.09/654,312.13 = 120,656.79/x
  3. Step 3: Cross multiply
    436,208.09x = 654,312.13 × 120,656.79
  4. Step 4: Simplify right side
    436,208.09x = 78,947,200,962.22
  5. Step 5: Solve for x
    x = 78,947,200,962.22/436,208.09
  6. Step 6: Final answer
    x = 180,985.19

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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.