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Finding the Fourth Proportional to 318,790.98, 478,297.19 and 141,422.55

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Solution

The fourth proportional to 318,790.98, 478,297.19 and 141,422.55 is: 212,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,790.98 : 478,297.19 = 141,422.55 : x
  2. Step 2: Convert to fraction form
    318,790.98/478,297.19 = 141,422.55/x
  3. Step 3: Cross multiply
    318,790.98x = 478,297.19 × 141,422.55
  4. Step 4: Simplify right side
    318,790.98x = 67,642,008,267.63
  5. Step 5: Solve for x
    x = 67,642,008,267.63/318,790.98
  6. Step 6: Final answer
    x = 212,182.94

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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.