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Finding the Fourth Proportional to 375,602.64, 518,381.28 and 214,421.28

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Solution

The fourth proportional to 375,602.64, 518,381.28 and 214,421.28 is: 295,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,602.64 : 518,381.28 = 214,421.28 : x
  2. Step 2: Convert to fraction form
    375,602.64/518,381.28 = 214,421.28/x
  3. Step 3: Cross multiply
    375,602.64x = 518,381.28 × 214,421.28
  4. Step 4: Simplify right side
    375,602.64x = 111,151,977,585.64
  5. Step 5: Solve for x
    x = 111,151,977,585.64/375,602.64
  6. Step 6: Final answer
    x = 295,929.70

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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.