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Finding the Fourth Proportional to 698,712.90, 964,325.70 and 392,814.51

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Solution

The fourth proportional to 698,712.90, 964,325.70 and 392,814.51 is: 542,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,712.90 : 964,325.70 = 392,814.51 : x
  2. Step 2: Convert to fraction form
    698,712.90/964,325.70 = 392,814.51/x
  3. Step 3: Cross multiply
    698,712.90x = 964,325.70 × 392,814.51
  4. Step 4: Simplify right side
    698,712.90x = 378,801,127,325.91
  5. Step 5: Solve for x
    x = 378,801,127,325.91/698,712.90
  6. Step 6: Final answer
    x = 542,141.31

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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.