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Finding the Fourth Proportional to 278,567.64, 384,447.24 and 157,730.22

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Solution

The fourth proportional to 278,567.64, 384,447.24 and 157,730.22 is: 217,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,567.64 : 384,447.24 = 157,730.22 : x
  2. Step 2: Convert to fraction form
    278,567.64/384,447.24 = 157,730.22/x
  3. Step 3: Cross multiply
    278,567.64x = 384,447.24 × 157,730.22
  4. Step 4: Simplify right side
    278,567.64x = 60,638,947,743.59
  5. Step 5: Solve for x
    x = 60,638,947,743.59/278,567.64
  6. Step 6: Final answer
    x = 217,681.23

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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.