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Finding the Fourth Proportional to 702,935.29, 970,048.92 and 380,645.35

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Solution

The fourth proportional to 702,935.29, 970,048.92 and 380,645.35 is: 525,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,935.29 : 970,048.92 = 380,645.35 : x
  2. Step 2: Convert to fraction form
    702,935.29/970,048.92 = 380,645.35/x
  3. Step 3: Cross multiply
    702,935.29x = 970,048.92 × 380,645.35
  4. Step 4: Simplify right side
    702,935.29x = 369,244,610,670.52
  5. Step 5: Solve for x
    x = 369,244,610,670.52/702,935.29
  6. Step 6: Final answer
    x = 525,289.62

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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.