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Finding the Fourth Proportional to 476,771.38, 715,782.12 and 319,702.66

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Solution

The fourth proportional to 476,771.38, 715,782.12 and 319,702.66 is: 479,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,771.38 : 715,782.12 = 319,702.66 : x
  2. Step 2: Convert to fraction form
    476,771.38/715,782.12 = 319,702.66/x
  3. Step 3: Cross multiply
    476,771.38x = 715,782.12 × 319,702.66
  4. Step 4: Simplify right side
    476,771.38x = 228,837,447,744.44
  5. Step 5: Solve for x
    x = 228,837,447,744.44/476,771.38
  6. Step 6: Final answer
    x = 479,973.12

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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.