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Finding the Fourth Proportional to 698,208, 963,527.04 and 380,256

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Solution

The fourth proportional to 698,208, 963,527.04 and 380,256 is: 524,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,208 : 963,527.04 = 380,256 : x
  2. Step 2: Convert to fraction form
    698,208/963,527.04 = 380,256/x
  3. Step 3: Cross multiply
    698,208x = 963,527.04 × 380,256
  4. Step 4: Simplify right side
    698,208x = 366,386,938,122.24
  5. Step 5: Solve for x
    x = 366,386,938,122.24/698,208
  6. Step 6: Final answer
    x = 524,753.28

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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.