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Finding the Fourth Proportional to 270,730.95, 405,895.15 and 164,088.73

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Solution

The fourth proportional to 270,730.95, 405,895.15 and 164,088.73 is: 246,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,730.95 : 405,895.15 = 164,088.73 : x
  2. Step 2: Convert to fraction form
    270,730.95/405,895.15 = 164,088.73/x
  3. Step 3: Cross multiply
    270,730.95x = 405,895.15 × 164,088.73
  4. Step 4: Simplify right side
    270,730.95x = 66,602,816,826.74
  5. Step 5: Solve for x
    x = 66,602,816,826.74/270,730.95
  6. Step 6: Final answer
    x = 246,011.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.