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Finding the Fourth Proportional to 291,716, 402,568.48 and 157,580

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Solution

The fourth proportional to 291,716, 402,568.48 and 157,580 is: 217,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,716 : 402,568.48 = 157,580 : x
  2. Step 2: Convert to fraction form
    291,716/402,568.48 = 157,580/x
  3. Step 3: Cross multiply
    291,716x = 402,568.48 × 157,580
  4. Step 4: Simplify right side
    291,716x = 63,436,741,078.40
  5. Step 5: Solve for x
    x = 63,436,741,078.40/291,716
  6. Step 6: Final answer
    x = 217,460.62

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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.