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Finding the Fourth Proportional to 304,388.74, 420,225.38 and 183,560.64

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Solution

The fourth proportional to 304,388.74, 420,225.38 and 183,560.64 is: 253,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,388.74 : 420,225.38 = 183,560.64 : x
  2. Step 2: Convert to fraction form
    304,388.74/420,225.38 = 183,560.64/x
  3. Step 3: Cross multiply
    304,388.74x = 420,225.38 × 183,560.64
  4. Step 4: Simplify right side
    304,388.74x = 77,136,839,697.04
  5. Step 5: Solve for x
    x = 77,136,839,697.04/304,388.74
  6. Step 6: Final answer
    x = 253,415.55

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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.