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Finding the Fourth Proportional to 489,422.14, 734,103.70 and 291,005.20

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Solution

The fourth proportional to 489,422.14, 734,103.70 and 291,005.20 is: 436,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,422.14 : 734,103.70 = 291,005.20 : x
  2. Step 2: Convert to fraction form
    489,422.14/734,103.70 = 291,005.20/x
  3. Step 3: Cross multiply
    489,422.14x = 734,103.70 × 291,005.20
  4. Step 4: Simplify right side
    489,422.14x = 213,627,994,039.24
  5. Step 5: Solve for x
    x = 213,627,994,039.24/489,422.14
  6. Step 6: Final answer
    x = 436,490.25

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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.