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Finding the Fourth Proportional to 708,828.54, 978,161.73 and 402,938.34

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Solution

The fourth proportional to 708,828.54, 978,161.73 and 402,938.34 is: 556,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,828.54 : 978,161.73 = 402,938.34 : x
  2. Step 2: Convert to fraction form
    708,828.54/978,161.73 = 402,938.34/x
  3. Step 3: Cross multiply
    708,828.54x = 978,161.73 × 402,938.34
  4. Step 4: Simplify right side
    708,828.54x = 394,138,863,737.73
  5. Step 5: Solve for x
    x = 394,138,863,737.73/708,828.54
  6. Step 6: Final answer
    x = 556,042.60

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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.