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Finding the Fourth Proportional to 280,102.20, 420,153.30 and 230,894.70

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Solution

The fourth proportional to 280,102.20, 420,153.30 and 230,894.70 is: 346,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,102.20 : 420,153.30 = 230,894.70 : x
  2. Step 2: Convert to fraction form
    280,102.20/420,153.30 = 230,894.70/x
  3. Step 3: Cross multiply
    280,102.20x = 420,153.30 × 230,894.70
  4. Step 4: Simplify right side
    280,102.20x = 97,011,170,157.51
  5. Step 5: Solve for x
    x = 97,011,170,157.51/280,102.20
  6. Step 6: Final answer
    x = 346,342.05

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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.