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Finding the Fourth Proportional to 316,447.34, 436,908.74 and 187,427.30

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Solution

The fourth proportional to 316,447.34, 436,908.74 and 187,427.30 is: 258,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,447.34 : 436,908.74 = 187,427.30 : x
  2. Step 2: Convert to fraction form
    316,447.34/436,908.74 = 187,427.30/x
  3. Step 3: Cross multiply
    316,447.34x = 436,908.74 × 187,427.30
  4. Step 4: Simplify right side
    316,447.34x = 81,888,625,484.60
  5. Step 5: Solve for x
    x = 81,888,625,484.60/316,447.34
  6. Step 6: Final answer
    x = 258,774.89

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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.