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Finding the Fourth Proportional to 385,994.58, 578,969.91 and 116,116.98

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Solution

The fourth proportional to 385,994.58, 578,969.91 and 116,116.98 is: 174,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,994.58 : 578,969.91 = 116,116.98 : x
  2. Step 2: Convert to fraction form
    385,994.58/578,969.91 = 116,116.98/x
  3. Step 3: Cross multiply
    385,994.58x = 578,969.91 × 116,116.98
  4. Step 4: Simplify right side
    385,994.58x = 67,228,237,460.07
  5. Step 5: Solve for x
    x = 67,228,237,460.07/385,994.58
  6. Step 6: Final answer
    x = 174,168.86

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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.