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Finding the Fourth Proportional to 278,838, 384,798.78 and 151,513.60

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Solution

The fourth proportional to 278,838, 384,798.78 and 151,513.60 is: 209,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,838 : 384,798.78 = 151,513.60 : x
  2. Step 2: Convert to fraction form
    278,838/384,798.78 = 151,513.60/x
  3. Step 3: Cross multiply
    278,838x = 384,798.78 × 151,513.60
  4. Step 4: Simplify right side
    278,838x = 58,302,248,433.41
  5. Step 5: Solve for x
    x = 58,302,248,433.41/278,838
  6. Step 6: Final answer
    x = 209,090.04

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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.