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Finding the Fourth Proportional to 312,514.47, 467,436.73 and 260,909.48

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Solution

The fourth proportional to 312,514.47, 467,436.73 and 260,909.48 is: 390,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,514.47 : 467,436.73 = 260,909.48 : x
  2. Step 2: Convert to fraction form
    312,514.47/467,436.73 = 260,909.48/x
  3. Step 3: Cross multiply
    312,514.47x = 467,436.73 × 260,909.48
  4. Step 4: Simplify right side
    312,514.47x = 121,958,671,167.74
  5. Step 5: Solve for x
    x = 121,958,671,167.74/312,514.47
  6. Step 6: Final answer
    x = 390,249.67

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