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Finding the Fourth Proportional to 1,821,978.30, 2,732,967.45 and 824,706.30

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Solution

The fourth proportional to 1,821,978.30, 2,732,967.45 and 824,706.30 is: 1,237,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,978.30 : 2,732,967.45 = 824,706.30 : x
  2. Step 2: Convert to fraction form
    1,821,978.30/2,732,967.45 = 824,706.30/x
  3. Step 3: Cross multiply
    1,821,978.30x = 2,732,967.45 × 824,706.30
  4. Step 4: Simplify right side
    1,821,978.30x = 2,253,895,473,709.94
  5. Step 5: Solve for x
    x = 2,253,895,473,709.94/1,821,978.30
  6. Step 6: Final answer
    x = 1,237,059.45

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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.