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Finding the Fourth Proportional to 703,267.07, 970,509 and 380,978.43

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Solution

The fourth proportional to 703,267.07, 970,509 and 380,978.43 is: 525,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,267.07 : 970,509 = 380,978.43 : x
  2. Step 2: Convert to fraction form
    703,267.07/970,509 = 380,978.43/x
  3. Step 3: Cross multiply
    703,267.07x = 970,509 × 380,978.43
  4. Step 4: Simplify right side
    703,267.07x = 369,742,995,120.87
  5. Step 5: Solve for x
    x = 369,742,995,120.87/703,267.07
  6. Step 6: Final answer
    x = 525,750.48

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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.