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Finding the Fourth Proportional to 652,249.80, 978,374.70 and 315,451.80

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Solution

The fourth proportional to 652,249.80, 978,374.70 and 315,451.80 is: 473,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,249.80 : 978,374.70 = 315,451.80 : x
  2. Step 2: Convert to fraction form
    652,249.80/978,374.70 = 315,451.80/x
  3. Step 3: Cross multiply
    652,249.80x = 978,374.70 × 315,451.80
  4. Step 4: Simplify right side
    652,249.80x = 308,630,060,189.46
  5. Step 5: Solve for x
    x = 308,630,060,189.46/652,249.80
  6. Step 6: Final answer
    x = 473,177.70

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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.