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Finding the Fourth Proportional to 857,709, 1,182,863.52 and 535,448.88

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Solution

The fourth proportional to 857,709, 1,182,863.52 and 535,448.88 is: 738,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,709 : 1,182,863.52 = 535,448.88 : x
  2. Step 2: Convert to fraction form
    857,709/1,182,863.52 = 535,448.88/x
  3. Step 3: Cross multiply
    857,709x = 1,182,863.52 × 535,448.88
  4. Step 4: Simplify right side
    857,709x = 633,362,946,976.86
  5. Step 5: Solve for x
    x = 633,362,946,976.86/857,709
  6. Step 6: Final answer
    x = 738,435.70

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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.