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Finding the Fourth Proportional to 699,718.49, 965,909.45 and 470,408.78

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Solution

The fourth proportional to 699,718.49, 965,909.45 and 470,408.78 is: 649,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,718.49 : 965,909.45 = 470,408.78 : x
  2. Step 2: Convert to fraction form
    699,718.49/965,909.45 = 470,408.78/x
  3. Step 3: Cross multiply
    699,718.49x = 965,909.45 × 470,408.78
  4. Step 4: Simplify right side
    699,718.49x = 454,372,278,783.38
  5. Step 5: Solve for x
    x = 454,372,278,783.38/699,718.49
  6. Step 6: Final answer
    x = 649,364.41

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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.