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Finding the Fourth Proportional to 647,203.48, 970,714.50 and 273,139

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Solution

The fourth proportional to 647,203.48, 970,714.50 and 273,139 is: 409,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,203.48 : 970,714.50 = 273,139 : x
  2. Step 2: Convert to fraction form
    647,203.48/970,714.50 = 273,139/x
  3. Step 3: Cross multiply
    647,203.48x = 970,714.50 × 273,139
  4. Step 4: Simplify right side
    647,203.48x = 265,139,987,815.50
  5. Step 5: Solve for x
    x = 265,139,987,815.50/647,203.48
  6. Step 6: Final answer
    x = 409,670.21

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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.