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Finding the Fourth Proportional to 280,017.40, 420,026.10 and 161,919.40

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Solution

The fourth proportional to 280,017.40, 420,026.10 and 161,919.40 is: 242,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,017.40 : 420,026.10 = 161,919.40 : x
  2. Step 2: Convert to fraction form
    280,017.40/420,026.10 = 161,919.40/x
  3. Step 3: Cross multiply
    280,017.40x = 420,026.10 × 161,919.40
  4. Step 4: Simplify right side
    280,017.40x = 68,010,374,096.34
  5. Step 5: Solve for x
    x = 68,010,374,096.34/280,017.40
  6. Step 6: Final answer
    x = 242,879.10

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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.