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Finding the Fourth Proportional to 298,641.40, 412,125.12 and 164,505.40

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Solution

The fourth proportional to 298,641.40, 412,125.12 and 164,505.40 is: 227,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,641.40 : 412,125.12 = 164,505.40 : x
  2. Step 2: Convert to fraction form
    298,641.40/412,125.12 = 164,505.40/x
  3. Step 3: Cross multiply
    298,641.40x = 412,125.12 × 164,505.40
  4. Step 4: Simplify right side
    298,641.40x = 67,796,807,715.65
  5. Step 5: Solve for x
    x = 67,796,807,715.65/298,641.40
  6. Step 6: Final answer
    x = 227,017.45

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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.