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Finding the Fourth Proportional to 703,657.38, 971,043.35 and 381,364.05

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Solution

The fourth proportional to 703,657.38, 971,043.35 and 381,364.05 is: 526,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,657.38 : 971,043.35 = 381,364.05 : x
  2. Step 2: Convert to fraction form
    703,657.38/971,043.35 = 381,364.05/x
  3. Step 3: Cross multiply
    703,657.38x = 971,043.35 × 381,364.05
  4. Step 4: Simplify right side
    703,657.38x = 370,321,022,774.75
  5. Step 5: Solve for x
    x = 370,321,022,774.75/703,657.38
  6. Step 6: Final answer
    x = 526,280.31

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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.