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Finding the Fourth Proportional to 517,492.67, 714,072.29 and 288,059.61

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Solution

The fourth proportional to 517,492.67, 714,072.29 and 288,059.61 is: 397,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,492.67 : 714,072.29 = 288,059.61 : x
  2. Step 2: Convert to fraction form
    517,492.67/714,072.29 = 288,059.61/x
  3. Step 3: Cross multiply
    517,492.67x = 714,072.29 × 288,059.61
  4. Step 4: Simplify right side
    517,492.67x = 205,695,383,928.91
  5. Step 5: Solve for x
    x = 205,695,383,928.91/517,492.67
  6. Step 6: Final answer
    x = 397,484.64

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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.