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Finding the Fourth Proportional to 509,825.20, 703,576.74 and 292,072.72

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Solution

The fourth proportional to 509,825.20, 703,576.74 and 292,072.72 is: 403,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,825.20 : 703,576.74 = 292,072.72 : x
  2. Step 2: Convert to fraction form
    509,825.20/703,576.74 = 292,072.72/x
  3. Step 3: Cross multiply
    509,825.20x = 703,576.74 × 292,072.72
  4. Step 4: Simplify right side
    509,825.20x = 205,495,572,180.53
  5. Step 5: Solve for x
    x = 205,495,572,180.53/509,825.20
  6. Step 6: Final answer
    x = 403,070.64

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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.