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Finding the Fourth Proportional to 698,591, 964,055.58 and 380,639

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Solution

The fourth proportional to 698,591, 964,055.58 and 380,639 is: 525,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,591 : 964,055.58 = 380,639 : x
  2. Step 2: Convert to fraction form
    698,591/964,055.58 = 380,639/x
  3. Step 3: Cross multiply
    698,591x = 964,055.58 × 380,639
  4. Step 4: Simplify right side
    698,591x = 366,957,151,915.62
  5. Step 5: Solve for x
    x = 366,957,151,915.62/698,591
  6. Step 6: Final answer
    x = 525,281.82

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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.