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Finding the Fourth Proportional to 702,967.96, 970,096.71 and 380,678.61

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Solution

The fourth proportional to 702,967.96, 970,096.71 and 380,678.61 is: 525,336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,967.96 : 970,096.71 = 380,678.61 : x
  2. Step 2: Convert to fraction form
    702,967.96/970,096.71 = 380,678.61/x
  3. Step 3: Cross multiply
    702,967.96x = 970,096.71 × 380,678.61
  4. Step 4: Simplify right side
    702,967.96x = 369,295,067,128.37
  5. Step 5: Solve for x
    x = 369,295,067,128.37/702,967.96
  6. Step 6: Final answer
    x = 525,336.98

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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.