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Finding the Fourth Proportional to 703,053.12, 970,213.88 and 380,763.84

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Solution

The fourth proportional to 703,053.12, 970,213.88 and 380,763.84 is: 525,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,053.12 : 970,213.88 = 380,763.84 : x
  2. Step 2: Convert to fraction form
    703,053.12/970,213.88 = 380,763.84/x
  3. Step 3: Cross multiply
    703,053.12x = 970,213.88 × 380,763.84
  4. Step 4: Simplify right side
    703,053.12x = 369,422,362,570.10
  5. Step 5: Solve for x
    x = 369,422,362,570.10/703,053.12
  6. Step 6: Final answer
    x = 525,454.41

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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.