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Finding the Fourth Proportional to 291,991.50, 402,948.63 and 157,855.50

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Solution

The fourth proportional to 291,991.50, 402,948.63 and 157,855.50 is: 217,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,991.50 : 402,948.63 = 157,855.50 : x
  2. Step 2: Convert to fraction form
    291,991.50/402,948.63 = 157,855.50/x
  3. Step 3: Cross multiply
    291,991.50x = 402,948.63 × 157,855.50
  4. Step 4: Simplify right side
    291,991.50x = 63,607,657,462.97
  5. Step 5: Solve for x
    x = 63,607,657,462.97/291,991.50
  6. Step 6: Final answer
    x = 217,840.78

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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.