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Finding the Fourth Proportional to 280,955.10, 421,432.65 and 278,330.70

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Solution

The fourth proportional to 280,955.10, 421,432.65 and 278,330.70 is: 417,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,955.10 : 421,432.65 = 278,330.70 : x
  2. Step 2: Convert to fraction form
    280,955.10/421,432.65 = 278,330.70/x
  3. Step 3: Cross multiply
    280,955.10x = 421,432.65 × 278,330.70
  4. Step 4: Simplify right side
    280,955.10x = 117,297,644,477.36
  5. Step 5: Solve for x
    x = 117,297,644,477.36/280,955.10
  6. Step 6: Final answer
    x = 417,496.05

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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.