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Finding the Fourth Proportional to 687,202.56, 948,386.88 and 385,416

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Solution

The fourth proportional to 687,202.56, 948,386.88 and 385,416 is: 531,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,202.56 : 948,386.88 = 385,416 : x
  2. Step 2: Convert to fraction form
    687,202.56/948,386.88 = 385,416/x
  3. Step 3: Cross multiply
    687,202.56x = 948,386.88 × 385,416
  4. Step 4: Simplify right side
    687,202.56x = 365,523,477,742.08
  5. Step 5: Solve for x
    x = 365,523,477,742.08/687,202.56
  6. Step 6: Final answer
    x = 531,900.63

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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.