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Finding the Fourth Proportional to 687,206.56, 948,392.40 and 385,420

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Solution

The fourth proportional to 687,206.56, 948,392.40 and 385,420 is: 531,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,206.56 : 948,392.40 = 385,420 : x
  2. Step 2: Convert to fraction form
    687,206.56/948,392.40 = 385,420/x
  3. Step 3: Cross multiply
    687,206.56x = 948,392.40 × 385,420
  4. Step 4: Simplify right side
    687,206.56x = 365,529,398,808
  5. Step 5: Solve for x
    x = 365,529,398,808/687,206.56
  6. Step 6: Final answer
    x = 531,906.15

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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.