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Finding the Fourth Proportional to 436,478.42, 654,745.29 and 136,970.81

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Solution

The fourth proportional to 436,478.42, 654,745.29 and 136,970.81 is: 205,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,478.42 : 654,745.29 = 136,970.81 : x
  2. Step 2: Convert to fraction form
    436,478.42/654,745.29 = 136,970.81/x
  3. Step 3: Cross multiply
    436,478.42x = 654,745.29 × 136,970.81
  4. Step 4: Simplify right side
    436,478.42x = 89,680,989,441.26
  5. Step 5: Solve for x
    x = 89,680,989,441.26/436,478.42
  6. Step 6: Final answer
    x = 205,464.89

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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.