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Finding the Fourth Proportional to 687,265.06, 948,473.14 and 385,478.50

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Solution

The fourth proportional to 687,265.06, 948,473.14 and 385,478.50 is: 531,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,265.06 : 948,473.14 = 385,478.50 : x
  2. Step 2: Convert to fraction form
    687,265.06/948,473.14 = 385,478.50/x
  3. Step 3: Cross multiply
    687,265.06x = 948,473.14 × 385,478.50
  4. Step 4: Simplify right side
    687,265.06x = 365,616,003,297.49
  5. Step 5: Solve for x
    x = 365,616,003,297.49/687,265.06
  6. Step 6: Final answer
    x = 531,986.89

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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.