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Finding the Fourth Proportional to 291,756, 402,623.52 and 157,620

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Solution

The fourth proportional to 291,756, 402,623.52 and 157,620 is: 217,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,756 : 402,623.52 = 157,620 : x
  2. Step 2: Convert to fraction form
    291,756/402,623.52 = 157,620/x
  3. Step 3: Cross multiply
    291,756x = 402,623.52 × 157,620
  4. Step 4: Simplify right side
    291,756x = 63,461,519,222.40
  5. Step 5: Solve for x
    x = 63,461,519,222.40/291,756
  6. Step 6: Final answer
    x = 217,515.73

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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.