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Finding the Fourth Proportional to 556,331.49, 767,754.16 and 314,609.21

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Solution

The fourth proportional to 556,331.49, 767,754.16 and 314,609.21 is: 434,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,331.49 : 767,754.16 = 314,609.21 : x
  2. Step 2: Convert to fraction form
    556,331.49/767,754.16 = 314,609.21/x
  3. Step 3: Cross multiply
    556,331.49x = 767,754.16 × 314,609.21
  4. Step 4: Simplify right side
    556,331.49x = 241,542,529,751.81
  5. Step 5: Solve for x
    x = 241,542,529,751.81/556,331.49
  6. Step 6: Final answer
    x = 434,170.16

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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.