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Finding the Fourth Proportional to 357,983.26, 536,946.80 and 208,128

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Solution

The fourth proportional to 357,983.26, 536,946.80 and 208,128 is: 312,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,983.26 : 536,946.80 = 208,128 : x
  2. Step 2: Convert to fraction form
    357,983.26/536,946.80 = 208,128/x
  3. Step 3: Cross multiply
    357,983.26x = 536,946.80 × 208,128
  4. Step 4: Simplify right side
    357,983.26x = 111,753,663,590.40
  5. Step 5: Solve for x
    x = 111,753,663,590.40/357,983.26
  6. Step 6: Final answer
    x = 312,175.67

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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.