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Finding the Fourth Proportional to 290,231.74, 435,264.90 and 112,700.80

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Solution

The fourth proportional to 290,231.74, 435,264.90 and 112,700.80 is: 169,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,231.74 : 435,264.90 = 112,700.80 : x
  2. Step 2: Convert to fraction form
    290,231.74/435,264.90 = 112,700.80/x
  3. Step 3: Cross multiply
    290,231.74x = 435,264.90 × 112,700.80
  4. Step 4: Simplify right side
    290,231.74x = 49,054,702,441.92
  5. Step 5: Solve for x
    x = 49,054,702,441.92/290,231.74
  6. Step 6: Final answer
    x = 169,019.08

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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.