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Finding the Fourth Proportional to 436,309.71, 654,478.88 and 120,740.19

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Solution

The fourth proportional to 436,309.71, 654,478.88 and 120,740.19 is: 181,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,309.71 : 654,478.88 = 120,740.19 : x
  2. Step 2: Convert to fraction form
    436,309.71/654,478.88 = 120,740.19/x
  3. Step 3: Cross multiply
    436,309.71x = 654,478.88 × 120,740.19
  4. Step 4: Simplify right side
    436,309.71x = 79,021,903,718.49
  5. Step 5: Solve for x
    x = 79,021,903,718.49/436,309.71
  6. Step 6: Final answer
    x = 181,114.25

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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.