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Finding the Fourth Proportional to 698,166, 963,469.08 and 380,214

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Solution

The fourth proportional to 698,166, 963,469.08 and 380,214 is: 524,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,166 : 963,469.08 = 380,214 : x
  2. Step 2: Convert to fraction form
    698,166/963,469.08 = 380,214/x
  3. Step 3: Cross multiply
    698,166x = 963,469.08 × 380,214
  4. Step 4: Simplify right side
    698,166x = 366,324,432,783.12
  5. Step 5: Solve for x
    x = 366,324,432,783.12/698,166
  6. Step 6: Final answer
    x = 524,695.32

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1.5x scale

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.