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Finding the Fourth Proportional to 458,784.31, 688,183.38 and 159,274.40

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Solution

The fourth proportional to 458,784.31, 688,183.38 and 159,274.40 is: 238,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,784.31 : 688,183.38 = 159,274.40 : x
  2. Step 2: Convert to fraction form
    458,784.31/688,183.38 = 159,274.40/x
  3. Step 3: Cross multiply
    458,784.31x = 688,183.38 × 159,274.40
  4. Step 4: Simplify right side
    458,784.31x = 109,609,992,422.64
  5. Step 5: Solve for x
    x = 109,609,992,422.64/458,784.31
  6. Step 6: Final answer
    x = 238,914.00

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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.