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Finding the Fourth Proportional to 291,809.28, 402,696.32 and 157,672.96

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Solution

The fourth proportional to 291,809.28, 402,696.32 and 157,672.96 is: 217,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,809.28 : 402,696.32 = 157,672.96 : x
  2. Step 2: Convert to fraction form
    291,809.28/402,696.32 = 157,672.96/x
  3. Step 3: Cross multiply
    291,809.28x = 402,696.32 × 157,672.96
  4. Step 4: Simplify right side
    291,809.28x = 63,494,320,755.51
  5. Step 5: Solve for x
    x = 63,494,320,755.51/291,809.28
  6. Step 6: Final answer
    x = 217,588.42

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1.5x scale

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.