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Finding the Fourth Proportional to 307,647.89, 461,471.63 and 157,804.77

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Solution

The fourth proportional to 307,647.89, 461,471.63 and 157,804.77 is: 236,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,647.89 : 461,471.63 = 157,804.77 : x
  2. Step 2: Convert to fraction form
    307,647.89/461,471.63 = 157,804.77/x
  3. Step 3: Cross multiply
    307,647.89x = 461,471.63 × 157,804.77
  4. Step 4: Simplify right side
    307,647.89x = 72,822,423,644.65
  5. Step 5: Solve for x
    x = 72,822,423,644.65/307,647.89
  6. Step 6: Final answer
    x = 236,707.05

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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.