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Finding the Fourth Proportional to 291,880.50, 402,795.09 and 157,744.50

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Solution

The fourth proportional to 291,880.50, 402,795.09 and 157,744.50 is: 217,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,880.50 : 402,795.09 = 157,744.50 : x
  2. Step 2: Convert to fraction form
    291,880.50/402,795.09 = 157,744.50/x
  3. Step 3: Cross multiply
    291,880.50x = 402,795.09 × 157,744.50
  4. Step 4: Simplify right side
    291,880.50x = 63,538,710,074.51
  5. Step 5: Solve for x
    x = 63,538,710,074.51/291,880.50
  6. Step 6: Final answer
    x = 217,687.41

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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.