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Finding the Fourth Proportional to 280,285.60, 420,428.40 and 154,314.40

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Solution

The fourth proportional to 280,285.60, 420,428.40 and 154,314.40 is: 231,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,285.60 : 420,428.40 = 154,314.40 : x
  2. Step 2: Convert to fraction form
    280,285.60/420,428.40 = 154,314.40/x
  3. Step 3: Cross multiply
    280,285.60x = 420,428.40 × 154,314.40
  4. Step 4: Simplify right side
    280,285.60x = 64,878,156,288.96
  5. Step 5: Solve for x
    x = 64,878,156,288.96/280,285.60
  6. Step 6: Final answer
    x = 231,471.60

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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.