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Finding the Fourth Proportional to 582,422.16, 803,609.64 and 327,680.40

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Solution

The fourth proportional to 582,422.16, 803,609.64 and 327,680.40 is: 452,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,422.16 : 803,609.64 = 327,680.40 : x
  2. Step 2: Convert to fraction form
    582,422.16/803,609.64 = 327,680.40/x
  3. Step 3: Cross multiply
    582,422.16x = 803,609.64 × 327,680.40
  4. Step 4: Simplify right side
    582,422.16x = 263,327,128,279.06
  5. Step 5: Solve for x
    x = 263,327,128,279.06/582,422.16
  6. Step 6: Final answer
    x = 452,124.16

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1.5x scale

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.