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Finding the Fourth Proportional to 309,695.25, 464,541.98 and 85,055.89

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Solution

The fourth proportional to 309,695.25, 464,541.98 and 85,055.89 is: 127,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,695.25 : 464,541.98 = 85,055.89 : x
  2. Step 2: Convert to fraction form
    309,695.25/464,541.98 = 85,055.89/x
  3. Step 3: Cross multiply
    309,695.25x = 464,541.98 × 85,055.89
  4. Step 4: Simplify right side
    309,695.25x = 39,512,031,551.26
  5. Step 5: Solve for x
    x = 39,512,031,551.26/309,695.25
  6. Step 6: Final answer
    x = 127,583.59

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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.