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Finding the Fourth Proportional to 698,590, 964,054.20 and 380,638

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Solution

The fourth proportional to 698,590, 964,054.20 and 380,638 is: 525,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,590 : 964,054.20 = 380,638 : x
  2. Step 2: Convert to fraction form
    698,590/964,054.20 = 380,638/x
  3. Step 3: Cross multiply
    698,590x = 964,054.20 × 380,638
  4. Step 4: Simplify right side
    698,590x = 366,955,662,579.60
  5. Step 5: Solve for x
    x = 366,955,662,579.60/698,590
  6. Step 6: Final answer
    x = 525,280.44

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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.