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Finding the Fourth Proportional to 972,728, 1,459,098.48 and 307,880

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Solution

The fourth proportional to 972,728, 1,459,098.48 and 307,880 is: 461,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,728 : 1,459,098.48 = 307,880 : x
  2. Step 2: Convert to fraction form
    972,728/1,459,098.48 = 307,880/x
  3. Step 3: Cross multiply
    972,728x = 1,459,098.48 × 307,880
  4. Step 4: Simplify right side
    972,728x = 449,227,240,022.40
  5. Step 5: Solve for x
    x = 449,227,240,022.40/972,728
  6. Step 6: Final answer
    x = 461,822.05

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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.