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Finding the Fourth Proportional to 698,584, 964,045.92 and 380,632

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Solution

The fourth proportional to 698,584, 964,045.92 and 380,632 is: 525,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,584 : 964,045.92 = 380,632 : x
  2. Step 2: Convert to fraction form
    698,584/964,045.92 = 380,632/x
  3. Step 3: Cross multiply
    698,584x = 964,045.92 × 380,632
  4. Step 4: Simplify right side
    698,584x = 366,946,726,621.44
  5. Step 5: Solve for x
    x = 366,946,726,621.44/698,584
  6. Step 6: Final answer
    x = 525,272.16

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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.