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Finding the Fourth Proportional to 290,220.74, 435,248.46 and 112,689.80

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Solution

The fourth proportional to 290,220.74, 435,248.46 and 112,689.80 is: 169,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,220.74 : 435,248.46 = 112,689.80 : x
  2. Step 2: Convert to fraction form
    290,220.74/435,248.46 = 112,689.80/x
  3. Step 3: Cross multiply
    290,220.74x = 435,248.46 × 112,689.80
  4. Step 4: Simplify right side
    290,220.74x = 49,048,061,907.71
  5. Step 5: Solve for x
    x = 49,048,061,907.71/290,220.74
  6. Step 6: Final answer
    x = 169,002.61

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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.