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Finding the Fourth Proportional to 309,878.64, 464,741.43 and 85,228.20

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Solution

The fourth proportional to 309,878.64, 464,741.43 and 85,228.20 is: 127,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,878.64 : 464,741.43 = 85,228.20 : x
  2. Step 2: Convert to fraction form
    309,878.64/464,741.43 = 85,228.20/x
  3. Step 3: Cross multiply
    309,878.64x = 464,741.43 × 85,228.20
  4. Step 4: Simplify right side
    309,878.64x = 39,609,075,544.33
  5. Step 5: Solve for x
    x = 39,609,075,544.33/309,878.64
  6. Step 6: Final answer
    x = 127,821.25

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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.