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Finding the Fourth Proportional to 407,293.34, 611,386.95 and 323,591.54

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Solution

The fourth proportional to 407,293.34, 611,386.95 and 323,591.54 is: 485,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,293.34 : 611,386.95 = 323,591.54 : x
  2. Step 2: Convert to fraction form
    407,293.34/611,386.95 = 323,591.54/x
  3. Step 3: Cross multiply
    407,293.34x = 611,386.95 × 323,591.54
  4. Step 4: Simplify right side
    407,293.34x = 197,839,644,686.40
  5. Step 5: Solve for x
    x = 197,839,644,686.40/407,293.34
  6. Step 6: Final answer
    x = 485,742.40

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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.