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Finding the Fourth Proportional to 407,638.64, 611,312.47 and 167,682.42

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Solution

The fourth proportional to 407,638.64, 611,312.47 and 167,682.42 is: 251,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,638.64 : 611,312.47 = 167,682.42 : x
  2. Step 2: Convert to fraction form
    407,638.64/611,312.47 = 167,682.42/x
  3. Step 3: Cross multiply
    407,638.64x = 611,312.47 × 167,682.42
  4. Step 4: Simplify right side
    407,638.64x = 102,506,353,926.57
  5. Step 5: Solve for x
    x = 102,506,353,926.57/407,638.64
  6. Step 6: Final answer
    x = 251,463.78

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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.