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Finding the Fourth Proportional to 650,138.64, 974,495.88 and 334,612.80

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Solution

The fourth proportional to 650,138.64, 974,495.88 and 334,612.80 is: 501,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,138.64 : 974,495.88 = 334,612.80 : x
  2. Step 2: Convert to fraction form
    650,138.64/974,495.88 = 334,612.80/x
  3. Step 3: Cross multiply
    650,138.64x = 974,495.88 × 334,612.80
  4. Step 4: Simplify right side
    650,138.64x = 326,078,794,995.26
  5. Step 5: Solve for x
    x = 326,078,794,995.26/650,138.64
  6. Step 6: Final answer
    x = 501,552.71

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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.