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Finding the Fourth Proportional to 703,056.51, 970,217.70 and 380,766.62

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Solution

The fourth proportional to 703,056.51, 970,217.70 and 380,766.62 is: 525,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,056.51 : 970,217.70 = 380,766.62 : x
  2. Step 2: Convert to fraction form
    703,056.51/970,217.70 = 380,766.62/x
  3. Step 3: Cross multiply
    703,056.51x = 970,217.70 × 380,766.62
  4. Step 4: Simplify right side
    703,056.51x = 369,426,515,290.84
  5. Step 5: Solve for x
    x = 369,426,515,290.84/703,056.51
  6. Step 6: Final answer
    x = 525,457.78

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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.