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Finding the Fourth Proportional to 702,929.13, 970,046.80 and 380,639.24

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Solution

The fourth proportional to 702,929.13, 970,046.80 and 380,639.24 is: 525,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,929.13 : 970,046.80 = 380,639.24 : x
  2. Step 2: Convert to fraction form
    702,929.13/970,046.80 = 380,639.24/x
  3. Step 3: Cross multiply
    702,929.13x = 970,046.80 × 380,639.24
  4. Step 4: Simplify right side
    702,929.13x = 369,237,876,693.37
  5. Step 5: Solve for x
    x = 369,237,876,693.37/702,929.13
  6. Step 6: Final answer
    x = 525,284.65

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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.