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Finding the Fourth Proportional to 1,354,322.92, 1,868,986.56 and 742,534.24

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Solution

The fourth proportional to 1,354,322.92, 1,868,986.56 and 742,534.24 is: 1,024,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,322.92 : 1,868,986.56 = 742,534.24 : x
  2. Step 2: Convert to fraction form
    1,354,322.92/1,868,986.56 = 742,534.24/x
  3. Step 3: Cross multiply
    1,354,322.92x = 1,868,986.56 × 742,534.24
  4. Step 4: Simplify right side
    1,354,322.92x = 1,387,786,514,899.81
  5. Step 5: Solve for x
    x = 1,387,786,514,899.81/1,354,322.92
  6. Step 6: Final answer
    x = 1,024,708.73

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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.