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Finding the Fourth Proportional to 280,228.91, 420,331.46 and 130,417.56

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Solution

The fourth proportional to 280,228.91, 420,331.46 and 130,417.56 is: 195,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,228.91 : 420,331.46 = 130,417.56 : x
  2. Step 2: Convert to fraction form
    280,228.91/420,331.46 = 130,417.56/x
  3. Step 3: Cross multiply
    280,228.91x = 420,331.46 × 130,417.56
  4. Step 4: Simplify right side
    280,228.91x = 54,818,602,752.35
  5. Step 5: Solve for x
    x = 54,818,602,752.35/280,228.91
  6. Step 6: Final answer
    x = 195,620.80

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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.