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Finding the Fourth Proportional to 280,674.72, 421,012.35 and 78,262.74

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Solution

The fourth proportional to 280,674.72, 421,012.35 and 78,262.74 is: 117,394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,674.72 : 421,012.35 = 78,262.74 : x
  2. Step 2: Convert to fraction form
    280,674.72/421,012.35 = 78,262.74/x
  3. Step 3: Cross multiply
    280,674.72x = 421,012.35 × 78,262.74
  4. Step 4: Simplify right side
    280,674.72x = 32,949,580,084.84
  5. Step 5: Solve for x
    x = 32,949,580,084.84/280,674.72
  6. Step 6: Final answer
    x = 117,394.19

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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.