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Finding the Fourth Proportional to 290,438.20, 435,599.70 and 140,678.20

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Solution

The fourth proportional to 290,438.20, 435,599.70 and 140,678.20 is: 210,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438.20 : 435,599.70 = 140,678.20 : x
  2. Step 2: Convert to fraction form
    290,438.20/435,599.70 = 140,678.20/x
  3. Step 3: Cross multiply
    290,438.20x = 435,599.70 × 140,678.20
  4. Step 4: Simplify right side
    290,438.20x = 61,279,381,716.54
  5. Step 5: Solve for x
    x = 61,279,381,716.54/290,438.20
  6. Step 6: Final answer
    x = 210,989.40

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1.5x scale

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.