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Finding the Fourth Proportional to 565,028, 779,738.64 and 310,383.44

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Solution

The fourth proportional to 565,028, 779,738.64 and 310,383.44 is: 428,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,028 : 779,738.64 = 310,383.44 : x
  2. Step 2: Convert to fraction form
    565,028/779,738.64 = 310,383.44/x
  3. Step 3: Cross multiply
    565,028x = 779,738.64 × 310,383.44
  4. Step 4: Simplify right side
    565,028x = 242,017,961,384.12
  5. Step 5: Solve for x
    x = 242,017,961,384.12/565,028
  6. Step 6: Final answer
    x = 428,329.15

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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.