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Finding the Fourth Proportional to 702,960.95, 970,086.63 and 380,671.40

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Solution

The fourth proportional to 702,960.95, 970,086.63 and 380,671.40 is: 525,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,960.95 : 970,086.63 = 380,671.40 : x
  2. Step 2: Convert to fraction form
    702,960.95/970,086.63 = 380,671.40/x
  3. Step 3: Cross multiply
    702,960.95x = 970,086.63 × 380,671.40
  4. Step 4: Simplify right side
    702,960.95x = 369,284,230,712.95
  5. Step 5: Solve for x
    x = 369,284,230,712.95/702,960.95
  6. Step 6: Final answer
    x = 525,326.81

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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.