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Finding the Fourth Proportional to 414,432.46, 620,825.64 and 319,332.70

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Solution

The fourth proportional to 414,432.46, 620,825.64 and 319,332.70 is: 478,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,432.46 : 620,825.64 = 319,332.70 : x
  2. Step 2: Convert to fraction form
    414,432.46/620,825.64 = 319,332.70/x
  3. Step 3: Cross multiply
    414,432.46x = 620,825.64 × 319,332.70
  4. Step 4: Simplify right side
    414,432.46x = 198,249,927,850.43
  5. Step 5: Solve for x
    x = 198,249,927,850.43/414,432.46
  6. Step 6: Final answer
    x = 478,364.87

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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.