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Finding the Fourth Proportional to 581,902.94, 802,905.73 and 340,138.74

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Solution

The fourth proportional to 581,902.94, 802,905.73 and 340,138.74 is: 469,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,902.94 : 802,905.73 = 340,138.74 : x
  2. Step 2: Convert to fraction form
    581,902.94/802,905.73 = 340,138.74/x
  3. Step 3: Cross multiply
    581,902.94x = 802,905.73 × 340,138.74
  4. Step 4: Simplify right side
    581,902.94x = 273,099,347,414.81
  5. Step 5: Solve for x
    x = 273,099,347,414.81/581,902.94
  6. Step 6: Final answer
    x = 469,321.14

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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.