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Finding the Fourth Proportional to 470,119.72, 647,957.46 and 339,405.16

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Solution

The fourth proportional to 470,119.72, 647,957.46 and 339,405.16 is: 467,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,119.72 : 647,957.46 = 339,405.16 : x
  2. Step 2: Convert to fraction form
    470,119.72/647,957.46 = 339,405.16/x
  3. Step 3: Cross multiply
    470,119.72x = 647,957.46 × 339,405.16
  4. Step 4: Simplify right side
    470,119.72x = 219,920,105,384.49
  5. Step 5: Solve for x
    x = 219,920,105,384.49/470,119.72
  6. Step 6: Final answer
    x = 467,795.96

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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.