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Finding the Fourth Proportional to 309,314, 463,639.32 and 202,657.68

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Solution

The fourth proportional to 309,314, 463,639.32 and 202,657.68 is: 303,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,314 : 463,639.32 = 202,657.68 : x
  2. Step 2: Convert to fraction form
    309,314/463,639.32 = 202,657.68/x
  3. Step 3: Cross multiply
    309,314x = 463,639.32 × 202,657.68
  4. Step 4: Simplify right side
    309,314x = 93,960,068,947.98
  5. Step 5: Solve for x
    x = 93,960,068,947.98/309,314
  6. Step 6: Final answer
    x = 303,769.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.