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Finding the Fourth Proportional to 288,706.30, 432,214.98 and 168,395.38

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Solution

The fourth proportional to 288,706.30, 432,214.98 and 168,395.38 is: 252,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,706.30 : 432,214.98 = 168,395.38 : x
  2. Step 2: Convert to fraction form
    288,706.30/432,214.98 = 168,395.38/x
  3. Step 3: Cross multiply
    288,706.30x = 432,214.98 × 168,395.38
  4. Step 4: Simplify right side
    288,706.30x = 72,783,005,798.79
  5. Step 5: Solve for x
    x = 72,783,005,798.79/288,706.30
  6. Step 6: Final answer
    x = 252,100.51

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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.