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Finding the Fourth Proportional to 972,729, 1,459,099.98 and 307,881

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Solution

The fourth proportional to 972,729, 1,459,099.98 and 307,881 is: 461,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,729 : 1,459,099.98 = 307,881 : x
  2. Step 2: Convert to fraction form
    972,729/1,459,099.98 = 307,881/x
  3. Step 3: Cross multiply
    972,729x = 1,459,099.98 × 307,881
  4. Step 4: Simplify right side
    972,729x = 449,229,160,942.38
  5. Step 5: Solve for x
    x = 449,229,160,942.38/972,729
  6. Step 6: Final answer
    x = 461,823.55

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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.