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Finding the Fourth Proportional to 375,634.98, 518,275.40 and 214,457.94

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Solution

The fourth proportional to 375,634.98, 518,275.40 and 214,457.94 is: 295,894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,634.98 : 518,275.40 = 214,457.94 : x
  2. Step 2: Convert to fraction form
    375,634.98/518,275.40 = 214,457.94/x
  3. Step 3: Cross multiply
    375,634.98x = 518,275.40 × 214,457.94
  4. Step 4: Simplify right side
    375,634.98x = 111,148,273,011.48
  5. Step 5: Solve for x
    x = 111,148,273,011.48/375,634.98
  6. Step 6: Final answer
    x = 295,894.36

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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.