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Finding the Fourth Proportional to 708,947.90, 978,309.66 and 402,981.82

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Solution

The fourth proportional to 708,947.90, 978,309.66 and 402,981.82 is: 556,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,947.90 : 978,309.66 = 402,981.82 : x
  2. Step 2: Convert to fraction form
    708,947.90/978,309.66 = 402,981.82/x
  3. Step 3: Cross multiply
    708,947.90x = 978,309.66 × 402,981.82
  4. Step 4: Simplify right side
    708,947.90x = 394,241,007,310.38
  5. Step 5: Solve for x
    x = 394,241,007,310.38/708,947.90
  6. Step 6: Final answer
    x = 556,093.06

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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.