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Finding the Fourth Proportional to 470,474, 649,254.12 and 258,506

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Solution

The fourth proportional to 470,474, 649,254.12 and 258,506 is: 356,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,474 : 649,254.12 = 258,506 : x
  2. Step 2: Convert to fraction form
    470,474/649,254.12 = 258,506/x
  3. Step 3: Cross multiply
    470,474x = 649,254.12 × 258,506
  4. Step 4: Simplify right side
    470,474x = 167,836,085,544.72
  5. Step 5: Solve for x
    x = 167,836,085,544.72/470,474
  6. Step 6: Final answer
    x = 356,738.28

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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.