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Finding the Fourth Proportional to 310,233.47, 428,168.47 and 189,444.77

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Solution

The fourth proportional to 310,233.47, 428,168.47 and 189,444.77 is: 261,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,233.47 : 428,168.47 = 189,444.77 : x
  2. Step 2: Convert to fraction form
    310,233.47/428,168.47 = 189,444.77/x
  3. Step 3: Cross multiply
    310,233.47x = 428,168.47 × 189,444.77
  4. Step 4: Simplify right side
    310,233.47x = 81,114,278,808.83
  5. Step 5: Solve for x
    x = 81,114,278,808.83/310,233.47
  6. Step 6: Final answer
    x = 261,462.05

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1.5x scale

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.