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Finding the Fourth Proportional to 499,840, 689,861.12 and 287,994.88

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Solution

The fourth proportional to 499,840, 689,861.12 and 287,994.88 is: 397,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,840 : 689,861.12 = 287,994.88 : x
  2. Step 2: Convert to fraction form
    499,840/689,861.12 = 287,994.88/x
  3. Step 3: Cross multiply
    499,840x = 689,861.12 × 287,994.88
  4. Step 4: Simplify right side
    499,840x = 198,676,470,471.07
  5. Step 5: Solve for x
    x = 198,676,470,471.07/499,840
  6. Step 6: Final answer
    x = 397,480.13

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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.