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Finding the Fourth Proportional to 304,762.93, 420,576 and 183,880.86

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Solution

The fourth proportional to 304,762.93, 420,576 and 183,880.86 is: 253,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,762.93 : 420,576 = 183,880.86 : x
  2. Step 2: Convert to fraction form
    304,762.93/420,576 = 183,880.86/x
  3. Step 3: Cross multiply
    304,762.93x = 420,576 × 183,880.86
  4. Step 4: Simplify right side
    304,762.93x = 77,335,875,523.92
  5. Step 5: Solve for x
    x = 77,335,875,523.92/304,762.93
  6. Step 6: Final answer
    x = 253,757.49

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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.