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Finding the Fourth Proportional to 703,953.64, 971,444.10 and 398,025.28

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Solution

The fourth proportional to 703,953.64, 971,444.10 and 398,025.28 is: 549,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,953.64 : 971,444.10 = 398,025.28 : x
  2. Step 2: Convert to fraction form
    703,953.64/971,444.10 = 398,025.28/x
  3. Step 3: Cross multiply
    703,953.64x = 971,444.10 × 398,025.28
  4. Step 4: Simplify right side
    703,953.64x = 386,659,309,906.85
  5. Step 5: Solve for x
    x = 386,659,309,906.85/703,953.64
  6. Step 6: Final answer
    x = 549,268.14

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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.