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Finding the Fourth Proportional to 375,656.64, 518,277.60 and 214,395.36

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Solution

The fourth proportional to 375,656.64, 518,277.60 and 214,395.36 is: 295,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,656.64 : 518,277.60 = 214,395.36 : x
  2. Step 2: Convert to fraction form
    375,656.64/518,277.60 = 214,395.36/x
  3. Step 3: Cross multiply
    375,656.64x = 518,277.60 × 214,395.36
  4. Step 4: Simplify right side
    375,656.64x = 111,116,312,631.94
  5. Step 5: Solve for x
    x = 111,116,312,631.94/375,656.64
  6. Step 6: Final answer
    x = 295,792.22

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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.