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Finding the Fourth Proportional to 703,005.79, 970,143.16 and 380,708.51

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Solution

The fourth proportional to 703,005.79, 970,143.16 and 380,708.51 is: 525,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,005.79 : 970,143.16 = 380,708.51 : x
  2. Step 2: Convert to fraction form
    703,005.79/970,143.16 = 380,708.51/x
  3. Step 3: Cross multiply
    703,005.79x = 970,143.16 × 380,708.51
  4. Step 4: Simplify right side
    703,005.79x = 369,341,756,930.29
  5. Step 5: Solve for x
    x = 369,341,756,930.29/703,005.79
  6. Step 6: Final answer
    x = 525,375.13

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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.