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Finding the Fourth Proportional to 557,271.87, 769,042.88 and 315,549.24

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Solution

The fourth proportional to 557,271.87, 769,042.88 and 315,549.24 is: 435,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,271.87 : 769,042.88 = 315,549.24 : x
  2. Step 2: Convert to fraction form
    557,271.87/769,042.88 = 315,549.24/x
  3. Step 3: Cross multiply
    557,271.87x = 769,042.88 × 315,549.24
  4. Step 4: Simplify right side
    557,271.87x = 242,670,896,311.41
  5. Step 5: Solve for x
    x = 242,670,896,311.41/557,271.87
  6. Step 6: Final answer
    x = 435,462.31

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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.