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Finding the Fourth Proportional to 513,448.74, 708,473.39 and 298,597.86

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Solution

The fourth proportional to 513,448.74, 708,473.39 and 298,597.86 is: 412,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,448.74 : 708,473.39 = 298,597.86 : x
  2. Step 2: Convert to fraction form
    513,448.74/708,473.39 = 298,597.86/x
  3. Step 3: Cross multiply
    513,448.74x = 708,473.39 × 298,597.86
  4. Step 4: Simplify right side
    513,448.74x = 211,548,636,627.96
  5. Step 5: Solve for x
    x = 211,548,636,627.96/513,448.74
  6. Step 6: Final answer
    x = 412,015.11

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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.