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Finding the Fourth Proportional to 385,616.40, 578,563.26 and 172,366.58

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Solution

The fourth proportional to 385,616.40, 578,563.26 and 172,366.58 is: 258,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,616.40 : 578,563.26 = 172,366.58 : x
  2. Step 2: Convert to fraction form
    385,616.40/578,563.26 = 172,366.58/x
  3. Step 3: Cross multiply
    385,616.40x = 578,563.26 × 172,366.58
  4. Step 4: Simplify right side
    385,616.40x = 99,724,971,239.88
  5. Step 5: Solve for x
    x = 99,724,971,239.88/385,616.40
  6. Step 6: Final answer
    x = 258,611.85

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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.