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Finding the Fourth Proportional to 280,870.60, 420,431.10 and 202,138.60

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Solution

The fourth proportional to 280,870.60, 420,431.10 and 202,138.60 is: 302,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,870.60 : 420,431.10 = 202,138.60 : x
  2. Step 2: Convert to fraction form
    280,870.60/420,431.10 = 202,138.60/x
  3. Step 3: Cross multiply
    280,870.60x = 420,431.10 × 202,138.60
  4. Step 4: Simplify right side
    280,870.60x = 84,985,353,950.46
  5. Step 5: Solve for x
    x = 84,985,353,950.46/280,870.60
  6. Step 6: Final answer
    x = 302,578.32

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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.