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Finding the Fourth Proportional to 698,546, 963,993.48 and 380,594

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Solution

The fourth proportional to 698,546, 963,993.48 and 380,594 is: 525,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,546 : 963,993.48 = 380,594 : x
  2. Step 2: Convert to fraction form
    698,546/963,993.48 = 380,594/x
  3. Step 3: Cross multiply
    698,546x = 963,993.48 × 380,594
  4. Step 4: Simplify right side
    698,546x = 366,890,134,527.12
  5. Step 5: Solve for x
    x = 366,890,134,527.12/698,546
  6. Step 6: Final answer
    x = 525,219.72

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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.