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Finding the Fourth Proportional to 291,648.50, 402,474.93 and 157,512.50

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Solution

The fourth proportional to 291,648.50, 402,474.93 and 157,512.50 is: 217,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,648.50 : 402,474.93 = 157,512.50 : x
  2. Step 2: Convert to fraction form
    291,648.50/402,474.93 = 157,512.50/x
  3. Step 3: Cross multiply
    291,648.50x = 402,474.93 × 157,512.50
  4. Step 4: Simplify right side
    291,648.50x = 63,394,832,411.63
  5. Step 5: Solve for x
    x = 63,394,832,411.63/291,648.50
  6. Step 6: Final answer
    x = 217,367.25

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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.