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Finding the Fourth Proportional to 313,014.73, 469,559.33 and 99,707.72

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Solution

The fourth proportional to 313,014.73, 469,559.33 and 99,707.72 is: 149,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,014.73 : 469,559.33 = 99,707.72 : x
  2. Step 2: Convert to fraction form
    313,014.73/469,559.33 = 99,707.72/x
  3. Step 3: Cross multiply
    313,014.73x = 469,559.33 × 99,707.72
  4. Step 4: Simplify right side
    313,014.73x = 46,818,690,199.03
  5. Step 5: Solve for x
    x = 46,818,690,199.03/313,014.73
  6. Step 6: Final answer
    x = 149,573.44

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1.5x scale

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.