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Finding the Fourth Proportional to 509,657.72, 703,285.81 and 300,072.31

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Solution

The fourth proportional to 509,657.72, 703,285.81 and 300,072.31 is: 414,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,657.72 : 703,285.81 = 300,072.31 : x
  2. Step 2: Convert to fraction form
    509,657.72/703,285.81 = 300,072.31/x
  3. Step 3: Cross multiply
    509,657.72x = 703,285.81 × 300,072.31
  4. Step 4: Simplify right side
    509,657.72x = 211,036,599,044.51
  5. Step 5: Solve for x
    x = 211,036,599,044.51/509,657.72
  6. Step 6: Final answer
    x = 414,075.15

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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.