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Finding the Fourth Proportional to 445,722.24, 615,008.96 and 264,400.32

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Solution

The fourth proportional to 445,722.24, 615,008.96 and 264,400.32 is: 364,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,722.24 : 615,008.96 = 264,400.32 : x
  2. Step 2: Convert to fraction form
    445,722.24/615,008.96 = 264,400.32/x
  3. Step 3: Cross multiply
    445,722.24x = 615,008.96 × 264,400.32
  4. Step 4: Simplify right side
    445,722.24x = 162,608,565,826.87
  5. Step 5: Solve for x
    x = 162,608,565,826.87/445,722.24
  6. Step 6: Final answer
    x = 364,820.40

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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.