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Finding the Fourth Proportional to 280,016.60, 420,024.90 and 102,529.40

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Solution

The fourth proportional to 280,016.60, 420,024.90 and 102,529.40 is: 153,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,016.60 : 420,024.90 = 102,529.40 : x
  2. Step 2: Convert to fraction form
    280,016.60/420,024.90 = 102,529.40/x
  3. Step 3: Cross multiply
    280,016.60x = 420,024.90 × 102,529.40
  4. Step 4: Simplify right side
    280,016.60x = 43,064,900,982.06
  5. Step 5: Solve for x
    x = 43,064,900,982.06/280,016.60
  6. Step 6: Final answer
    x = 153,794.10

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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.