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Finding the Fourth Proportional to 310,548, 428,556.24 and 169,236

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Solution

The fourth proportional to 310,548, 428,556.24 and 169,236 is: 233,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,548 : 428,556.24 = 169,236 : x
  2. Step 2: Convert to fraction form
    310,548/428,556.24 = 169,236/x
  3. Step 3: Cross multiply
    310,548x = 428,556.24 × 169,236
  4. Step 4: Simplify right side
    310,548x = 72,527,143,832.64
  5. Step 5: Solve for x
    x = 72,527,143,832.64/310,548
  6. Step 6: Final answer
    x = 233,545.68

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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.