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Finding the Fourth Proportional to 687,204.56, 948,389.64 and 385,418

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Solution

The fourth proportional to 687,204.56, 948,389.64 and 385,418 is: 531,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,204.56 : 948,389.64 = 385,418 : x
  2. Step 2: Convert to fraction form
    687,204.56/948,389.64 = 385,418/x
  3. Step 3: Cross multiply
    687,204.56x = 948,389.64 × 385,418
  4. Step 4: Simplify right side
    687,204.56x = 365,526,438,269.52
  5. Step 5: Solve for x
    x = 365,526,438,269.52/687,204.56
  6. Step 6: Final answer
    x = 531,903.39

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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.