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Finding the Fourth Proportional to 307,820.82, 424,653.93 and 180,442.65

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Solution

The fourth proportional to 307,820.82, 424,653.93 and 180,442.65 is: 248,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,820.82 : 424,653.93 = 180,442.65 : x
  2. Step 2: Convert to fraction form
    307,820.82/424,653.93 = 180,442.65/x
  3. Step 3: Cross multiply
    307,820.82x = 424,653.93 × 180,442.65
  4. Step 4: Simplify right side
    307,820.82x = 76,625,680,462.11
  5. Step 5: Solve for x
    x = 76,625,680,462.11/307,820.82
  6. Step 6: Final answer
    x = 248,929.49

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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.