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Finding the Fourth Proportional to 278,483.82, 384,307.83 and 151,159.38

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Solution

The fourth proportional to 278,483.82, 384,307.83 and 151,159.38 is: 208,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,483.82 : 384,307.83 = 151,159.38 : x
  2. Step 2: Convert to fraction form
    278,483.82/384,307.83 = 151,159.38/x
  3. Step 3: Cross multiply
    278,483.82x = 384,307.83 × 151,159.38
  4. Step 4: Simplify right side
    278,483.82x = 58,091,733,311.95
  5. Step 5: Solve for x
    x = 58,091,733,311.95/278,483.82
  6. Step 6: Final answer
    x = 208,600.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.