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Finding the Fourth Proportional to 279,985.16, 420,174.54 and 253,216.28

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Solution

The fourth proportional to 279,985.16, 420,174.54 and 253,216.28 is: 380,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,985.16 : 420,174.54 = 253,216.28 : x
  2. Step 2: Convert to fraction form
    279,985.16/420,174.54 = 253,216.28/x
  3. Step 3: Cross multiply
    279,985.16x = 420,174.54 × 253,216.28
  4. Step 4: Simplify right side
    279,985.16x = 106,395,033,969.51
  5. Step 5: Solve for x
    x = 106,395,033,969.51/279,985.16
  6. Step 6: Final answer
    x = 380,002.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.