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Finding the Fourth Proportional to 309,478.61, 427,156.46 and 188,686.51

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Solution

The fourth proportional to 309,478.61, 427,156.46 and 188,686.51 is: 260,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,478.61 : 427,156.46 = 188,686.51 : x
  2. Step 2: Convert to fraction form
    309,478.61/427,156.46 = 188,686.51/x
  3. Step 3: Cross multiply
    309,478.61x = 427,156.46 × 188,686.51
  4. Step 4: Simplify right side
    309,478.61x = 80,598,661,065.18
  5. Step 5: Solve for x
    x = 80,598,661,065.18/309,478.61
  6. Step 6: Final answer
    x = 260,433.70

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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.