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Finding the Fourth Proportional to 470,545, 649,352.10 and 258,577

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Solution

The fourth proportional to 470,545, 649,352.10 and 258,577 is: 356,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,545 : 649,352.10 = 258,577 : x
  2. Step 2: Convert to fraction form
    470,545/649,352.10 = 258,577/x
  3. Step 3: Cross multiply
    470,545x = 649,352.10 × 258,577
  4. Step 4: Simplify right side
    470,545x = 167,907,517,961.70
  5. Step 5: Solve for x
    x = 167,907,517,961.70/470,545
  6. Step 6: Final answer
    x = 356,836.26

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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.