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Finding the Fourth Proportional to 556,487.82, 767,953.22 and 314,765.19

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Solution

The fourth proportional to 556,487.82, 767,953.22 and 314,765.19 is: 434,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,487.82 : 767,953.22 = 314,765.19 : x
  2. Step 2: Convert to fraction form
    556,487.82/767,953.22 = 314,765.19/x
  3. Step 3: Cross multiply
    556,487.82x = 767,953.22 × 314,765.19
  4. Step 4: Simplify right side
    556,487.82x = 241,724,939,630.59
  5. Step 5: Solve for x
    x = 241,724,939,630.59/556,487.82
  6. Step 6: Final answer
    x = 434,375.98

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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.