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Finding the Fourth Proportional to 471,523.60, 650,719.80 and 256,653.28

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Solution

The fourth proportional to 471,523.60, 650,719.80 and 256,653.28 is: 354,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,523.60 : 650,719.80 = 256,653.28 : x
  2. Step 2: Convert to fraction form
    471,523.60/650,719.80 = 256,653.28/x
  3. Step 3: Cross multiply
    471,523.60x = 650,719.80 × 256,653.28
  4. Step 4: Simplify right side
    471,523.60x = 167,009,371,030.94
  5. Step 5: Solve for x
    x = 167,009,371,030.94/471,523.60
  6. Step 6: Final answer
    x = 354,190.91

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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.