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Finding the Fourth Proportional to 703,657.63, 971,043.69 and 381,364.30

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Solution

The fourth proportional to 703,657.63, 971,043.69 and 381,364.30 is: 526,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,657.63 : 971,043.69 = 381,364.30 : x
  2. Step 2: Convert to fraction form
    703,657.63/971,043.69 = 381,364.30/x
  3. Step 3: Cross multiply
    703,657.63x = 971,043.69 × 381,364.30
  4. Step 4: Simplify right side
    703,657.63x = 370,321,397,106.27
  5. Step 5: Solve for x
    x = 370,321,397,106.27/703,657.63
  6. Step 6: Final answer
    x = 526,280.65

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.