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Finding the Fourth Proportional to 557,729.28, 835,908.56 and 257,804.08

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Solution

The fourth proportional to 557,729.28, 835,908.56 and 257,804.08 is: 386,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,729.28 : 835,908.56 = 257,804.08 : x
  2. Step 2: Convert to fraction form
    557,729.28/835,908.56 = 257,804.08/x
  3. Step 3: Cross multiply
    557,729.28x = 835,908.56 × 257,804.08
  4. Step 4: Simplify right side
    557,729.28x = 215,500,637,274.93
  5. Step 5: Solve for x
    x = 215,500,637,274.93/557,729.28
  6. Step 6: Final answer
    x = 386,389.32

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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.