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Finding the Fourth Proportional to 386,006.40, 578,980.80 and 161,308.80

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Solution

The fourth proportional to 386,006.40, 578,980.80 and 161,308.80 is: 241,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,006.40 : 578,980.80 = 161,308.80 : x
  2. Step 2: Convert to fraction form
    386,006.40/578,980.80 = 161,308.80/x
  3. Step 3: Cross multiply
    386,006.40x = 578,980.80 × 161,308.80
  4. Step 4: Simplify right side
    386,006.40x = 93,394,698,071.04
  5. Step 5: Solve for x
    x = 93,394,698,071.04/386,006.40
  6. Step 6: Final answer
    x = 241,951.16

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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.