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Finding the Fourth Proportional to 684,857.82, 945,052.47 and 382,993.50

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Solution

The fourth proportional to 684,857.82, 945,052.47 and 382,993.50 is: 528,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,857.82 : 945,052.47 = 382,993.50 : x
  2. Step 2: Convert to fraction form
    684,857.82/945,052.47 = 382,993.50/x
  3. Step 3: Cross multiply
    684,857.82x = 945,052.47 × 382,993.50
  4. Step 4: Simplify right side
    684,857.82x = 361,948,953,168.95
  5. Step 5: Solve for x
    x = 361,948,953,168.95/684,857.82
  6. Step 6: Final answer
    x = 528,502.33

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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.