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Finding the Fourth Proportional to 703,462.65, 970,796.37 and 431,680.65

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Solution

The fourth proportional to 703,462.65, 970,796.37 and 431,680.65 is: 595,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,462.65 : 970,796.37 = 431,680.65 : x
  2. Step 2: Convert to fraction form
    703,462.65/970,796.37 = 431,680.65/x
  3. Step 3: Cross multiply
    703,462.65x = 970,796.37 × 431,680.65
  4. Step 4: Simplify right side
    703,462.65x = 419,074,008,019.24
  5. Step 5: Solve for x
    x = 419,074,008,019.24/703,462.65
  6. Step 6: Final answer
    x = 595,730.29

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Double scale
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1.5x scale

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.