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Finding the Fourth Proportional to 310,313.32, 428,484.90 and 252,961.64

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Solution

The fourth proportional to 310,313.32, 428,484.90 and 252,961.64 is: 349,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,313.32 : 428,484.90 = 252,961.64 : x
  2. Step 2: Convert to fraction form
    310,313.32/428,484.90 = 252,961.64/x
  3. Step 3: Cross multiply
    310,313.32x = 428,484.90 × 252,961.64
  4. Step 4: Simplify right side
    310,313.32x = 108,390,243,019.24
  5. Step 5: Solve for x
    x = 108,390,243,019.24/310,313.32
  6. Step 6: Final answer
    x = 349,292.91

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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.