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Finding the Fourth Proportional to 475,652.22, 712,527.63 and 286,008.75

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Solution

The fourth proportional to 475,652.22, 712,527.63 and 286,008.75 is: 428,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,652.22 : 712,527.63 = 286,008.75 : x
  2. Step 2: Convert to fraction form
    475,652.22/712,527.63 = 286,008.75/x
  3. Step 3: Cross multiply
    475,652.22x = 712,527.63 × 286,008.75
  4. Step 4: Simplify right side
    475,652.22x = 203,789,136,796.76
  5. Step 5: Solve for x
    x = 203,789,136,796.76/475,652.22
  6. Step 6: Final answer
    x = 428,441.47

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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.