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Finding the Fourth Proportional to 653,086.20, 978,317.10 and 372,275.40

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Solution

The fourth proportional to 653,086.20, 978,317.10 and 372,275.40 is: 557,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,086.20 : 978,317.10 = 372,275.40 : x
  2. Step 2: Convert to fraction form
    653,086.20/978,317.10 = 372,275.40/x
  3. Step 3: Cross multiply
    653,086.20x = 978,317.10 × 372,275.40
  4. Step 4: Simplify right side
    653,086.20x = 364,203,389,729.34
  5. Step 5: Solve for x
    x = 364,203,389,729.34/653,086.20
  6. Step 6: Final answer
    x = 557,665.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.