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Finding the Fourth Proportional to 1,502,097.62, 2,072,977.72 and 857,724.80

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Solution

The fourth proportional to 1,502,097.62, 2,072,977.72 and 857,724.80 is: 1,183,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502,097.62 : 2,072,977.72 = 857,724.80 : x
  2. Step 2: Convert to fraction form
    1,502,097.62/2,072,977.72 = 857,724.80/x
  3. Step 3: Cross multiply
    1,502,097.62x = 2,072,977.72 × 857,724.80
  4. Step 4: Simplify right side
    1,502,097.62x = 1,778,044,387,782.26
  5. Step 5: Solve for x
    x = 1,778,044,387,782.26/1,502,097.62
  6. Step 6: Final answer
    x = 1,183,707.62

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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.