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Finding the Fourth Proportional to 289,326.72, 433,779.79 and 120,895.26

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Solution

The fourth proportional to 289,326.72, 433,779.79 and 120,895.26 is: 181,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,326.72 : 433,779.79 = 120,895.26 : x
  2. Step 2: Convert to fraction form
    289,326.72/433,779.79 = 120,895.26/x
  3. Step 3: Cross multiply
    289,326.72x = 433,779.79 × 120,895.26
  4. Step 4: Simplify right side
    289,326.72x = 52,441,920,494.80
  5. Step 5: Solve for x
    x = 52,441,920,494.80/289,326.72
  6. Step 6: Final answer
    x = 181,255.02

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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.