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Finding the Fourth Proportional to 410,458.89, 615,688.31 and 208,023.47

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Solution

The fourth proportional to 410,458.89, 615,688.31 and 208,023.47 is: 312,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,458.89 : 615,688.31 = 208,023.47 : x
  2. Step 2: Convert to fraction form
    410,458.89/615,688.31 = 208,023.47/x
  3. Step 3: Cross multiply
    410,458.89x = 615,688.31 × 208,023.47
  4. Step 4: Simplify right side
    410,458.89x = 128,077,614,566.08
  5. Step 5: Solve for x
    x = 128,077,614,566.08/410,458.89
  6. Step 6: Final answer
    x = 312,035.18

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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.