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Finding the Fourth Proportional to 309,480.93, 427,159.65 and 188,688.82

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Solution

The fourth proportional to 309,480.93, 427,159.65 and 188,688.82 is: 260,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,480.93 : 427,159.65 = 188,688.82 : x
  2. Step 2: Convert to fraction form
    309,480.93/427,159.65 = 188,688.82/x
  3. Step 3: Cross multiply
    309,480.93x = 427,159.65 × 188,688.82
  4. Step 4: Simplify right side
    309,480.93x = 80,600,249,242.21
  5. Step 5: Solve for x
    x = 80,600,249,242.21/309,480.93
  6. Step 6: Final answer
    x = 260,436.88

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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.