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Finding the Fourth Proportional to 289,922.80, 434,864.64 and 79,543.12

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Solution

The fourth proportional to 289,922.80, 434,864.64 and 79,543.12 is: 119,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,922.80 : 434,864.64 = 79,543.12 : x
  2. Step 2: Convert to fraction form
    289,922.80/434,864.64 = 79,543.12/x
  3. Step 3: Cross multiply
    289,922.80x = 434,864.64 × 79,543.12
  4. Step 4: Simplify right side
    289,922.80x = 34,590,490,243.28
  5. Step 5: Solve for x
    x = 34,590,490,243.28/289,922.80
  6. Step 6: Final answer
    x = 119,309.31

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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.