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Finding the Fourth Proportional to 698,211, 963,531.18 and 380,259

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Solution

The fourth proportional to 698,211, 963,531.18 and 380,259 is: 524,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,211 : 963,531.18 = 380,259 : x
  2. Step 2: Convert to fraction form
    698,211/963,531.18 = 380,259/x
  3. Step 3: Cross multiply
    698,211x = 963,531.18 × 380,259
  4. Step 4: Simplify right side
    698,211x = 366,391,402,975.62
  5. Step 5: Solve for x
    x = 366,391,402,975.62/698,211
  6. Step 6: Final answer
    x = 524,757.42

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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.