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Finding the Fourth Proportional to 499,792.80, 689,705.22 and 306,170.40

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Solution

The fourth proportional to 499,792.80, 689,705.22 and 306,170.40 is: 422,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,792.80 : 689,705.22 = 306,170.40 : x
  2. Step 2: Convert to fraction form
    499,792.80/689,705.22 = 306,170.40/x
  3. Step 3: Cross multiply
    499,792.80x = 689,705.22 × 306,170.40
  4. Step 4: Simplify right side
    499,792.80x = 211,167,323,089.49
  5. Step 5: Solve for x
    x = 211,167,323,089.49/499,792.80
  6. Step 6: Final answer
    x = 422,509.73

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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.