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Finding the Fourth Proportional to 342,006.30, 513,009.45 and 164,421.90

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Solution

The fourth proportional to 342,006.30, 513,009.45 and 164,421.90 is: 246,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,006.30 : 513,009.45 = 164,421.90 : x
  2. Step 2: Convert to fraction form
    342,006.30/513,009.45 = 164,421.90/x
  3. Step 3: Cross multiply
    342,006.30x = 513,009.45 × 164,421.90
  4. Step 4: Simplify right side
    342,006.30x = 84,349,988,486.96
  5. Step 5: Solve for x
    x = 84,349,988,486.96/342,006.30
  6. Step 6: Final answer
    x = 246,632.85

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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.