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Finding the Fourth Proportional to 316,257.78, 436,455.10 and 182,164.98

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Solution

The fourth proportional to 316,257.78, 436,455.10 and 182,164.98 is: 251,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,257.78 : 436,455.10 = 182,164.98 : x
  2. Step 2: Convert to fraction form
    316,257.78/436,455.10 = 182,164.98/x
  3. Step 3: Cross multiply
    316,257.78x = 436,455.10 × 182,164.98
  4. Step 4: Simplify right side
    316,257.78x = 79,506,834,562.40
  5. Step 5: Solve for x
    x = 79,506,834,562.40/316,257.78
  6. Step 6: Final answer
    x = 251,398.83

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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.