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Finding the Fourth Proportional to 291,994.50, 402,952.95 and 157,858.50

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Solution

The fourth proportional to 291,994.50, 402,952.95 and 157,858.50 is: 217,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,994.50 : 402,952.95 = 157,858.50 : x
  2. Step 2: Convert to fraction form
    291,994.50/402,952.95 = 157,858.50/x
  3. Step 3: Cross multiply
    291,994.50x = 402,952.95 × 157,858.50
  4. Step 4: Simplify right side
    291,994.50x = 63,609,548,257.58
  5. Step 5: Solve for x
    x = 63,609,548,257.58/291,994.50
  6. Step 6: Final answer
    x = 217,845.02

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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.