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Finding the Fourth Proportional to 340,020, 469,227.60 and 189,113.76

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Solution

The fourth proportional to 340,020, 469,227.60 and 189,113.76 is: 260,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,020 : 469,227.60 = 189,113.76 : x
  2. Step 2: Convert to fraction form
    340,020/469,227.60 = 189,113.76/x
  3. Step 3: Cross multiply
    340,020x = 469,227.60 × 189,113.76
  4. Step 4: Simplify right side
    340,020x = 88,737,395,731.78
  5. Step 5: Solve for x
    x = 88,737,395,731.78/340,020
  6. Step 6: Final answer
    x = 260,976.99

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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.