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Finding the Fourth Proportional to 703,657.13, 971,043 and 381,363.80

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Solution

The fourth proportional to 703,657.13, 971,043 and 381,363.80 is: 526,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,657.13 : 971,043 = 381,363.80 : x
  2. Step 2: Convert to fraction form
    703,657.13/971,043 = 381,363.80/x
  3. Step 3: Cross multiply
    703,657.13x = 971,043 × 381,363.80
  4. Step 4: Simplify right side
    703,657.13x = 370,320,648,443.40
  5. Step 5: Solve for x
    x = 370,320,648,443.40/703,657.13
  6. Step 6: Final answer
    x = 526,279.96

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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.