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Finding the Fourth Proportional to 371,746.34, 513,011.31 and 201,980.46

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Solution

The fourth proportional to 371,746.34, 513,011.31 and 201,980.46 is: 278,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,746.34 : 513,011.31 = 201,980.46 : x
  2. Step 2: Convert to fraction form
    371,746.34/513,011.31 = 201,980.46/x
  3. Step 3: Cross multiply
    371,746.34x = 513,011.31 × 201,980.46
  4. Step 4: Simplify right side
    371,746.34x = 103,618,260,954.63
  5. Step 5: Solve for x
    x = 103,618,260,954.63/371,746.34
  6. Step 6: Final answer
    x = 278,733.78

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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.