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Finding the Fourth Proportional to 686,949.64, 947,990.82 and 381,015.40

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Solution

The fourth proportional to 686,949.64, 947,990.82 and 381,015.40 is: 525,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,949.64 : 947,990.82 = 381,015.40 : x
  2. Step 2: Convert to fraction form
    686,949.64/947,990.82 = 381,015.40/x
  3. Step 3: Cross multiply
    686,949.64x = 947,990.82 × 381,015.40
  4. Step 4: Simplify right side
    686,949.64x = 361,199,101,478.63
  5. Step 5: Solve for x
    x = 361,199,101,478.63/686,949.64
  6. Step 6: Final answer
    x = 525,801.43

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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.