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Finding the Fourth Proportional to 557,321.11, 769,240.80 and 315,746.00

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Solution

The fourth proportional to 557,321.11, 769,240.80 and 315,746.00 is: 435,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,321.11 : 769,240.80 = 315,746.00 : x
  2. Step 2: Convert to fraction form
    557,321.11/769,240.80 = 315,746.00/x
  3. Step 3: Cross multiply
    557,321.11x = 769,240.80 × 315,746.00
  4. Step 4: Simplify right side
    557,321.11x = 242,884,704,675.25
  5. Step 5: Solve for x
    x = 242,884,704,675.25/557,321.11
  6. Step 6: Final answer
    x = 435,807.48

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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.