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Finding the Fourth Proportional to 653,370.80, 978,743.96 and 297,895.82

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Solution

The fourth proportional to 653,370.80, 978,743.96 and 297,895.82 is: 446,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,370.80 : 978,743.96 = 297,895.82 : x
  2. Step 2: Convert to fraction form
    653,370.80/978,743.96 = 297,895.82/x
  3. Step 3: Cross multiply
    653,370.80x = 978,743.96 × 297,895.82
  4. Step 4: Simplify right side
    653,370.80x = 291,563,734,534.25
  5. Step 5: Solve for x
    x = 291,563,734,534.25/653,370.80
  6. Step 6: Final answer
    x = 446,245.43

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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.