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Finding the Fourth Proportional to 318,461.61, 439,294.50 and 199,022.25

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Solution

The fourth proportional to 318,461.61, 439,294.50 and 199,022.25 is: 274,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,461.61 : 439,294.50 = 199,022.25 : x
  2. Step 2: Convert to fraction form
    318,461.61/439,294.50 = 199,022.25/x
  3. Step 3: Cross multiply
    318,461.61x = 439,294.50 × 199,022.25
  4. Step 4: Simplify right side
    318,461.61x = 87,429,379,802.63
  5. Step 5: Solve for x
    x = 87,429,379,802.63/318,461.61
  6. Step 6: Final answer
    x = 274,536.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.