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Finding the Fourth Proportional to 280,431.70, 420,559.30 and 90,848.08

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Solution

The fourth proportional to 280,431.70, 420,559.30 and 90,848.08 is: 136,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,431.70 : 420,559.30 = 90,848.08 : x
  2. Step 2: Convert to fraction form
    280,431.70/420,559.30 = 90,848.08/x
  3. Step 3: Cross multiply
    280,431.70x = 420,559.30 × 90,848.08
  4. Step 4: Simplify right side
    280,431.70x = 38,207,004,931.14
  5. Step 5: Solve for x
    x = 38,207,004,931.14/280,431.70
  6. Step 6: Final answer
    x = 136,243.53

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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.