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Finding the Fourth Proportional to 290,446.94, 435,697.29 and 112,967.42

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Solution

The fourth proportional to 290,446.94, 435,697.29 and 112,967.42 is: 169,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,446.94 : 435,697.29 = 112,967.42 : x
  2. Step 2: Convert to fraction form
    290,446.94/435,697.29 = 112,967.42/x
  3. Step 3: Cross multiply
    290,446.94x = 435,697.29 × 112,967.42
  4. Step 4: Simplify right side
    290,446.94x = 49,219,598,752.29
  5. Step 5: Solve for x
    x = 49,219,598,752.29/290,446.94
  6. Step 6: Final answer
    x = 169,461.58

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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.