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Finding the Fourth Proportional to 298,557.96, 412,008.18 and 164,421

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Solution

The fourth proportional to 298,557.96, 412,008.18 and 164,421 is: 226,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,557.96 : 412,008.18 = 164,421 : x
  2. Step 2: Convert to fraction form
    298,557.96/412,008.18 = 164,421/x
  3. Step 3: Cross multiply
    298,557.96x = 412,008.18 × 164,421
  4. Step 4: Simplify right side
    298,557.96x = 67,742,796,963.78
  5. Step 5: Solve for x
    x = 67,742,796,963.78/298,557.96
  6. Step 6: Final answer
    x = 226,899.99

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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.