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Finding the Fourth Proportional to 703,036.80, 970,208.52 and 431,254.56

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Solution

The fourth proportional to 703,036.80, 970,208.52 and 431,254.56 is: 595,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,036.80 : 970,208.52 = 431,254.56 : x
  2. Step 2: Convert to fraction form
    703,036.80/970,208.52 = 431,254.56/x
  3. Step 3: Cross multiply
    703,036.80x = 970,208.52 × 431,254.56
  4. Step 4: Simplify right side
    703,036.80x = 418,406,848,400.85
  5. Step 5: Solve for x
    x = 418,406,848,400.85/703,036.80
  6. Step 6: Final answer
    x = 595,142.17

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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.