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Finding the Fourth Proportional to 652,069.72, 978,114.82 and 297,069.40

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Solution

The fourth proportional to 652,069.72, 978,114.82 and 297,069.40 is: 445,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,069.72 : 978,114.82 = 297,069.40 : x
  2. Step 2: Convert to fraction form
    652,069.72/978,114.82 = 297,069.40/x
  3. Step 3: Cross multiply
    652,069.72x = 978,114.82 × 297,069.40
  4. Step 4: Simplify right side
    652,069.72x = 290,567,982,708.51
  5. Step 5: Solve for x
    x = 290,567,982,708.51/652,069.72
  6. Step 6: Final answer
    x = 445,608.77

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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.