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Finding the Fourth Proportional to 900,689.12, 1,242,828.22 and 538,036

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Solution

The fourth proportional to 900,689.12, 1,242,828.22 and 538,036 is: 742,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,689.12 : 1,242,828.22 = 538,036 : x
  2. Step 2: Convert to fraction form
    900,689.12/1,242,828.22 = 538,036/x
  3. Step 3: Cross multiply
    900,689.12x = 1,242,828.22 × 538,036
  4. Step 4: Simplify right side
    900,689.12x = 668,686,324,175.92
  5. Step 5: Solve for x
    x = 668,686,324,175.92/900,689.12
  6. Step 6: Final answer
    x = 742,416.34

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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.