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Finding the Fourth Proportional to 489,438.14, 734,127.70 and 291,021.20

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Solution

The fourth proportional to 489,438.14, 734,127.70 and 291,021.20 is: 436,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,438.14 : 734,127.70 = 291,021.20 : x
  2. Step 2: Convert to fraction form
    489,438.14/734,127.70 = 291,021.20/x
  3. Step 3: Cross multiply
    489,438.14x = 734,127.70 × 291,021.20
  4. Step 4: Simplify right side
    489,438.14x = 213,646,724,207.24
  5. Step 5: Solve for x
    x = 213,646,724,207.24/489,438.14
  6. Step 6: Final answer
    x = 436,514.25

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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.