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Finding the Fourth Proportional to 515,892.42, 711,933.02 and 286,450.20

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Solution

The fourth proportional to 515,892.42, 711,933.02 and 286,450.20 is: 395,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,892.42 : 711,933.02 = 286,450.20 : x
  2. Step 2: Convert to fraction form
    515,892.42/711,933.02 = 286,450.20/x
  3. Step 3: Cross multiply
    515,892.42x = 711,933.02 × 286,450.20
  4. Step 4: Simplify right side
    515,892.42x = 203,933,355,965.60
  5. Step 5: Solve for x
    x = 203,933,355,965.60/515,892.42
  6. Step 6: Final answer
    x = 395,302.10

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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.