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Finding the Fourth Proportional to 385,906.40, 578,830.80 and 161,208.80

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Solution

The fourth proportional to 385,906.40, 578,830.80 and 161,208.80 is: 241,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,906.40 : 578,830.80 = 161,208.80 : x
  2. Step 2: Convert to fraction form
    385,906.40/578,830.80 = 161,208.80/x
  3. Step 3: Cross multiply
    385,906.40x = 578,830.80 × 161,208.80
  4. Step 4: Simplify right side
    385,906.40x = 93,312,618,671.04
  5. Step 5: Solve for x
    x = 93,312,618,671.04/385,906.40
  6. Step 6: Final answer
    x = 241,801.17

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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.