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Finding the Fourth Proportional to 280,039.58, 420,133.17 and 146,884.08

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Solution

The fourth proportional to 280,039.58, 420,133.17 and 146,884.08 is: 220,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,039.58 : 420,133.17 = 146,884.08 : x
  2. Step 2: Convert to fraction form
    280,039.58/420,133.17 = 146,884.08/x
  3. Step 3: Cross multiply
    280,039.58x = 420,133.17 × 146,884.08
  4. Step 4: Simplify right side
    280,039.58x = 61,710,874,152.93
  5. Step 5: Solve for x
    x = 61,710,874,152.93/280,039.58
  6. Step 6: Final answer
    x = 220,364.83

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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.