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Finding the Fourth Proportional to 302,842.53, 414,895.75 and 291,491.91

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Solution

The fourth proportional to 302,842.53, 414,895.75 and 291,491.91 is: 399,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,842.53 : 414,895.75 = 291,491.91 : x
  2. Step 2: Convert to fraction form
    302,842.53/414,895.75 = 291,491.91/x
  3. Step 3: Cross multiply
    302,842.53x = 414,895.75 × 291,491.91
  4. Step 4: Simplify right side
    302,842.53x = 120,938,753,889.65
  5. Step 5: Solve for x
    x = 120,938,753,889.65/302,842.53
  6. Step 6: Final answer
    x = 399,345.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.