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Finding the Fourth Proportional to 703,083.28, 970,250.08 and 380,786

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Solution

The fourth proportional to 703,083.28, 970,250.08 and 380,786 is: 525,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,083.28 : 970,250.08 = 380,786 : x
  2. Step 2: Convert to fraction form
    703,083.28/970,250.08 = 380,786/x
  3. Step 3: Cross multiply
    703,083.28x = 970,250.08 × 380,786
  4. Step 4: Simplify right side
    703,083.28x = 369,457,646,962.88
  5. Step 5: Solve for x
    x = 369,457,646,962.88/703,083.28
  6. Step 6: Final answer
    x = 525,482.06

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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.