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Finding the Fourth Proportional to 385,583.57, 577,369.33 and 310,292.45

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Solution

The fourth proportional to 385,583.57, 577,369.33 and 310,292.45 is: 464,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,583.57 : 577,369.33 = 310,292.45 : x
  2. Step 2: Convert to fraction form
    385,583.57/577,369.33 = 310,292.45/x
  3. Step 3: Cross multiply
    385,583.57x = 577,369.33 × 310,292.45
  4. Step 4: Simplify right side
    385,583.57x = 179,153,340,297.98
  5. Step 5: Solve for x
    x = 179,153,340,297.98/385,583.57
  6. Step 6: Final answer
    x = 464,629.09

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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.