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Finding the Fourth Proportional to 253,464.32, 349,769.76 and 140,280.32

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Solution

The fourth proportional to 253,464.32, 349,769.76 and 140,280.32 is: 193,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,464.32 : 349,769.76 = 140,280.32 : x
  2. Step 2: Convert to fraction form
    253,464.32/349,769.76 = 140,280.32/x
  3. Step 3: Cross multiply
    253,464.32x = 349,769.76 × 140,280.32
  4. Step 4: Simplify right side
    253,464.32x = 49,065,813,859.12
  5. Step 5: Solve for x
    x = 49,065,813,859.12/253,464.32
  6. Step 6: Final answer
    x = 193,580.75

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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.