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Finding the Fourth Proportional to 290,288.65, 435,460.46 and 112,809.35

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Solution

The fourth proportional to 290,288.65, 435,460.46 and 112,809.35 is: 169,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,288.65 : 435,460.46 = 112,809.35 : x
  2. Step 2: Convert to fraction form
    290,288.65/435,460.46 = 112,809.35/x
  3. Step 3: Cross multiply
    290,288.65x = 435,460.46 × 112,809.35
  4. Step 4: Simplify right side
    290,288.65x = 49,124,011,443.30
  5. Step 5: Solve for x
    x = 49,124,011,443.30/290,288.65
  6. Step 6: Final answer
    x = 169,224.71

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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.