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Finding the Fourth Proportional to 556,205.47, 767,578.66 and 314,524.20

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Solution

The fourth proportional to 556,205.47, 767,578.66 and 314,524.20 is: 434,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,205.47 : 767,578.66 = 314,524.20 : x
  2. Step 2: Convert to fraction form
    556,205.47/767,578.66 = 314,524.20/x
  3. Step 3: Cross multiply
    556,205.47x = 767,578.66 × 314,524.20
  4. Step 4: Simplify right side
    556,205.47x = 241,422,061,748.05
  5. Step 5: Solve for x
    x = 241,422,061,748.05/556,205.47
  6. Step 6: Final answer
    x = 434,051.94

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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.