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Finding the Fourth Proportional to 702,993.84, 970,130.01 and 380,702.94

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Solution

The fourth proportional to 702,993.84, 970,130.01 and 380,702.94 is: 525,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,993.84 : 970,130.01 = 380,702.94 : x
  2. Step 2: Convert to fraction form
    702,993.84/970,130.01 = 380,702.94/x
  3. Step 3: Cross multiply
    702,993.84x = 970,130.01 × 380,702.94
  4. Step 4: Simplify right side
    702,993.84x = 369,331,344,778.88
  5. Step 5: Solve for x
    x = 369,331,344,778.88/702,993.84
  6. Step 6: Final answer
    x = 525,369.25

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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.