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Finding the Fourth Proportional to 309,656.94, 464,486.14 and 85,020.45

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Solution

The fourth proportional to 309,656.94, 464,486.14 and 85,020.45 is: 127,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,656.94 : 464,486.14 = 85,020.45 : x
  2. Step 2: Convert to fraction form
    309,656.94/464,486.14 = 85,020.45/x
  3. Step 3: Cross multiply
    309,656.94x = 464,486.14 × 85,020.45
  4. Step 4: Simplify right side
    309,656.94x = 39,490,821,590.23
  5. Step 5: Solve for x
    x = 39,490,821,590.23/309,656.94
  6. Step 6: Final answer
    x = 127,530.88

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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.