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Finding the Fourth Proportional to 687,448.52, 948,793 and 400,968.60

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Solution

The fourth proportional to 687,448.52, 948,793 and 400,968.60 is: 553,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,448.52 : 948,793 = 400,968.60 : x
  2. Step 2: Convert to fraction form
    687,448.52/948,793 = 400,968.60/x
  3. Step 3: Cross multiply
    687,448.52x = 948,793 × 400,968.60
  4. Step 4: Simplify right side
    687,448.52x = 380,436,200,899.80
  5. Step 5: Solve for x
    x = 380,436,200,899.80/687,448.52
  6. Step 6: Final answer
    x = 553,403.19

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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.