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Finding the Fourth Proportional to 253,499.57, 349,829.40 and 140,322.32

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Solution

The fourth proportional to 253,499.57, 349,829.40 and 140,322.32 is: 193,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,499.57 : 349,829.40 = 140,322.32 : x
  2. Step 2: Convert to fraction form
    253,499.57/349,829.40 = 140,322.32/x
  3. Step 3: Cross multiply
    253,499.57x = 349,829.40 × 140,322.32
  4. Step 4: Simplify right side
    253,499.57x = 49,088,871,263.06
  5. Step 5: Solve for x
    x = 49,088,871,263.06/253,499.57
  6. Step 6: Final answer
    x = 193,644.79

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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.