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Finding the Fourth Proportional to 316,381.84, 436,634.21 and 180,421.51

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Solution

The fourth proportional to 316,381.84, 436,634.21 and 180,421.51 is: 248,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,381.84 : 436,634.21 = 180,421.51 : x
  2. Step 2: Convert to fraction form
    316,381.84/436,634.21 = 180,421.51/x
  3. Step 3: Cross multiply
    316,381.84x = 436,634.21 × 180,421.51
  4. Step 4: Simplify right side
    316,381.84x = 78,778,203,485.86
  5. Step 5: Solve for x
    x = 78,778,203,485.86/316,381.84
  6. Step 6: Final answer
    x = 248,997.24

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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.