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Finding the Fourth Proportional to 538,717.04, 743,395.80 and 296,987.12

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Solution

The fourth proportional to 538,717.04, 743,395.80 and 296,987.12 is: 409,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,717.04 : 743,395.80 = 296,987.12 : x
  2. Step 2: Convert to fraction form
    538,717.04/743,395.80 = 296,987.12/x
  3. Step 3: Cross multiply
    538,717.04x = 743,395.80 × 296,987.12
  4. Step 4: Simplify right side
    538,717.04x = 220,778,977,662.10
  5. Step 5: Solve for x
    x = 220,778,977,662.10/538,717.04
  6. Step 6: Final answer
    x = 409,823.64

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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.