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Finding the Fourth Proportional to 278,889.35, 384,870.29 and 151,564.95

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Solution

The fourth proportional to 278,889.35, 384,870.29 and 151,564.95 is: 209,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,889.35 : 384,870.29 = 151,564.95 : x
  2. Step 2: Convert to fraction form
    278,889.35/384,870.29 = 151,564.95/x
  3. Step 3: Cross multiply
    278,889.35x = 384,870.29 × 151,564.95
  4. Step 4: Simplify right side
    278,889.35x = 58,332,845,502.51
  5. Step 5: Solve for x
    x = 58,332,845,502.51/278,889.35
  6. Step 6: Final answer
    x = 209,161.26

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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.