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Finding the Fourth Proportional to 972,720, 1,459,086.48 and 307,872

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Solution

The fourth proportional to 972,720, 1,459,086.48 and 307,872 is: 461,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,720 : 1,459,086.48 = 307,872 : x
  2. Step 2: Convert to fraction form
    972,720/1,459,086.48 = 307,872/x
  3. Step 3: Cross multiply
    972,720x = 1,459,086.48 × 307,872
  4. Step 4: Simplify right side
    972,720x = 449,211,872,770.56
  5. Step 5: Solve for x
    x = 449,211,872,770.56/972,720
  6. Step 6: Final answer
    x = 461,810.05

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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.