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Finding the Fourth Proportional to 345,959.94, 519,009.93 and 146,280

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Solution

The fourth proportional to 345,959.94, 519,009.93 and 146,280 is: 219,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,959.94 : 519,009.93 = 146,280 : x
  2. Step 2: Convert to fraction form
    345,959.94/519,009.93 = 146,280/x
  3. Step 3: Cross multiply
    345,959.94x = 519,009.93 × 146,280
  4. Step 4: Simplify right side
    345,959.94x = 75,920,772,560.40
  5. Step 5: Solve for x
    x = 75,920,772,560.40/345,959.94
  6. Step 6: Final answer
    x = 219,449.61

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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.