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Finding the Fourth Proportional to 1,072,705, 1,609,264.54 and 407,805.16

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Solution

The fourth proportional to 1,072,705, 1,609,264.54 and 407,805.16 is: 611,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,705 : 1,609,264.54 = 407,805.16 : x
  2. Step 2: Convert to fraction form
    1,072,705/1,609,264.54 = 407,805.16/x
  3. Step 3: Cross multiply
    1,072,705x = 1,609,264.54 × 407,805.16
  4. Step 4: Simplify right side
    1,072,705x = 656,266,383,217.03
  5. Step 5: Solve for x
    x = 656,266,383,217.03/1,072,705
  6. Step 6: Final answer
    x = 611,786.45

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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.