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Finding the Fourth Proportional to 488,175.81, 729,295.03 and 315,994.90

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Solution

The fourth proportional to 488,175.81, 729,295.03 and 315,994.90 is: 472,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,175.81 : 729,295.03 = 315,994.90 : x
  2. Step 2: Convert to fraction form
    488,175.81/729,295.03 = 315,994.90/x
  3. Step 3: Cross multiply
    488,175.81x = 729,295.03 × 315,994.90
  4. Step 4: Simplify right side
    488,175.81x = 230,453,510,075.35
  5. Step 5: Solve for x
    x = 230,453,510,075.35/488,175.81
  6. Step 6: Final answer
    x = 472,070.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.