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Finding the Fourth Proportional to 280,088.15, 419,916.89 and 145,007.42

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Solution

The fourth proportional to 280,088.15, 419,916.89 and 145,007.42 is: 217,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,088.15 : 419,916.89 = 145,007.42 : x
  2. Step 2: Convert to fraction form
    280,088.15/419,916.89 = 145,007.42/x
  3. Step 3: Cross multiply
    280,088.15x = 419,916.89 × 145,007.42
  4. Step 4: Simplify right side
    280,088.15x = 60,891,062,008.70
  5. Step 5: Solve for x
    x = 60,891,062,008.70/280,088.15
  6. Step 6: Final answer
    x = 217,399.64

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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.