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Finding the Fourth Proportional to 628,457.30, 943,153.64 and 308,780.78

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Solution

The fourth proportional to 628,457.30, 943,153.64 and 308,780.78 is: 463,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,457.30 : 943,153.64 = 308,780.78 : x
  2. Step 2: Convert to fraction form
    628,457.30/943,153.64 = 308,780.78/x
  3. Step 3: Cross multiply
    628,457.30x = 943,153.64 × 308,780.78
  4. Step 4: Simplify right side
    628,457.30x = 291,227,711,517.30
  5. Step 5: Solve for x
    x = 291,227,711,517.30/628,457.30
  6. Step 6: Final answer
    x = 463,400.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.