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Finding the Fourth Proportional to 702,977.70, 970,109.74 and 380,688.14

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Solution

The fourth proportional to 702,977.70, 970,109.74 and 380,688.14 is: 525,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,977.70 : 970,109.74 = 380,688.14 : x
  2. Step 2: Convert to fraction form
    702,977.70/970,109.74 = 380,688.14/x
  3. Step 3: Cross multiply
    702,977.70x = 970,109.74 × 380,688.14
  4. Step 4: Simplify right side
    702,977.70x = 369,309,272,516.48
  5. Step 5: Solve for x
    x = 369,309,272,516.48/702,977.70
  6. Step 6: Final answer
    x = 525,349.91

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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.