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Finding the Fourth Proportional to 278,482.71, 384,296.19 and 157,621.40

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Solution

The fourth proportional to 278,482.71, 384,296.19 and 157,621.40 is: 217,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,482.71 : 384,296.19 = 157,621.40 : x
  2. Step 2: Convert to fraction form
    278,482.71/384,296.19 = 157,621.40/x
  3. Step 3: Cross multiply
    278,482.71x = 384,296.19 × 157,621.40
  4. Step 4: Simplify right side
    278,482.71x = 60,573,300,772.88
  5. Step 5: Solve for x
    x = 60,573,300,772.88/278,482.71
  6. Step 6: Final answer
    x = 217,511.89

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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.