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Finding the Fourth Proportional to 291,651, 402,478.38 and 157,515

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Solution

The fourth proportional to 291,651, 402,478.38 and 157,515 is: 217,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,651 : 402,478.38 = 157,515 : x
  2. Step 2: Convert to fraction form
    291,651/402,478.38 = 157,515/x
  3. Step 3: Cross multiply
    291,651x = 402,478.38 × 157,515
  4. Step 4: Simplify right side
    291,651x = 63,396,382,025.70
  5. Step 5: Solve for x
    x = 63,396,382,025.70/291,651
  6. Step 6: Final answer
    x = 217,370.70

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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.