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Finding the Fourth Proportional to 385,616.10, 578,424.15 and 259,644.90

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Solution

The fourth proportional to 385,616.10, 578,424.15 and 259,644.90 is: 389,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,616.10 : 578,424.15 = 259,644.90 : x
  2. Step 2: Convert to fraction form
    385,616.10/578,424.15 = 259,644.90/x
  3. Step 3: Cross multiply
    385,616.10x = 578,424.15 × 259,644.90
  4. Step 4: Simplify right side
    385,616.10x = 150,184,880,584.34
  5. Step 5: Solve for x
    x = 150,184,880,584.34/385,616.10
  6. Step 6: Final answer
    x = 389,467.35

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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.