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Finding the Fourth Proportional to 1,414,129, 1,951,498.34 and 778,225

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Solution

The fourth proportional to 1,414,129, 1,951,498.34 and 778,225 is: 1,073,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,129 : 1,951,498.34 = 778,225 : x
  2. Step 2: Convert to fraction form
    1,414,129/1,951,498.34 = 778,225/x
  3. Step 3: Cross multiply
    1,414,129x = 1,951,498.34 × 778,225
  4. Step 4: Simplify right side
    1,414,129x = 1,518,704,795,646.50
  5. Step 5: Solve for x
    x = 1,518,704,795,646.50/1,414,129
  6. Step 6: Final answer
    x = 1,073,950.68

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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.