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Finding the Fourth Proportional to 471,527.12, 650,722 and 256,681.60

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Solution

The fourth proportional to 471,527.12, 650,722 and 256,681.60 is: 354,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,527.12 : 650,722 = 256,681.60 : x
  2. Step 2: Convert to fraction form
    471,527.12/650,722 = 256,681.60/x
  3. Step 3: Cross multiply
    471,527.12x = 650,722 × 256,681.60
  4. Step 4: Simplify right side
    471,527.12x = 167,028,364,115.20
  5. Step 5: Solve for x
    x = 167,028,364,115.20/471,527.12
  6. Step 6: Final answer
    x = 354,228.54

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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.