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Finding the Fourth Proportional to 278,952.71, 384,955.29 and 151,628.00

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Solution

The fourth proportional to 278,952.71, 384,955.29 and 151,628.00 is: 209,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,952.71 : 384,955.29 = 151,628.00 : x
  2. Step 2: Convert to fraction form
    278,952.71/384,955.29 = 151,628.00/x
  3. Step 3: Cross multiply
    278,952.71x = 384,955.29 × 151,628.00
  4. Step 4: Simplify right side
    278,952.71x = 58,369,998,787.34
  5. Step 5: Solve for x
    x = 58,369,998,787.34/278,952.71
  6. Step 6: Final answer
    x = 209,246.94

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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.