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Finding the Fourth Proportional to 702,929.25, 970,046.98 and 380,639.37

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Solution

The fourth proportional to 702,929.25, 970,046.98 and 380,639.37 is: 525,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,929.25 : 970,046.98 = 380,639.37 : x
  2. Step 2: Convert to fraction form
    702,929.25/970,046.98 = 380,639.37/x
  3. Step 3: Cross multiply
    702,929.25x = 970,046.98 × 380,639.37
  4. Step 4: Simplify right side
    702,929.25x = 369,238,064,584.17
  5. Step 5: Solve for x
    x = 369,238,064,584.17/702,929.25
  6. Step 6: Final answer
    x = 525,284.82

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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.