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Finding the Fourth Proportional to 703,117.50, 970,301.67 and 380,827.50

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Solution

The fourth proportional to 703,117.50, 970,301.67 and 380,827.50 is: 525,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,117.50 : 970,301.67 = 380,827.50 : x
  2. Step 2: Convert to fraction form
    703,117.50/970,301.67 = 380,827.50/x
  3. Step 3: Cross multiply
    703,117.50x = 970,301.67 × 380,827.50
  4. Step 4: Simplify right side
    703,117.50x = 369,517,559,231.93
  5. Step 5: Solve for x
    x = 369,517,559,231.93/703,117.50
  6. Step 6: Final answer
    x = 525,541.69

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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.