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Finding the Fourth Proportional to 702,977.16, 970,103.62 and 380,679.88

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Solution

The fourth proportional to 702,977.16, 970,103.62 and 380,679.88 is: 525,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,977.16 : 970,103.62 = 380,679.88 : x
  2. Step 2: Convert to fraction form
    702,977.16/970,103.62 = 380,679.88/x
  3. Step 3: Cross multiply
    702,977.16x = 970,103.62 × 380,679.88
  4. Step 4: Simplify right side
    702,977.16x = 369,298,929,649.17
  5. Step 5: Solve for x
    x = 369,298,929,649.17/702,977.16
  6. Step 6: Final answer
    x = 525,335.60

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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.