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Finding the Fourth Proportional to 398,527.83, 549,957.40 and 217,243.28

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Solution

The fourth proportional to 398,527.83, 549,957.40 and 217,243.28 is: 299,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,527.83 : 549,957.40 = 217,243.28 : x
  2. Step 2: Convert to fraction form
    398,527.83/549,957.40 = 217,243.28/x
  3. Step 3: Cross multiply
    398,527.83x = 549,957.40 × 217,243.28
  4. Step 4: Simplify right side
    398,527.83x = 119,474,550,268.06
  5. Step 5: Solve for x
    x = 119,474,550,268.06/398,527.83
  6. Step 6: Final answer
    x = 299,789.73

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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.