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Finding the Fourth Proportional to 253,722.04, 380,657.80 and 76,256.12

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Solution

The fourth proportional to 253,722.04, 380,657.80 and 76,256.12 is: 114,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,722.04 : 380,657.80 = 76,256.12 : x
  2. Step 2: Convert to fraction form
    253,722.04/380,657.80 = 76,256.12/x
  3. Step 3: Cross multiply
    253,722.04x = 380,657.80 × 76,256.12
  4. Step 4: Simplify right side
    253,722.04x = 29,027,486,875.74
  5. Step 5: Solve for x
    x = 29,027,486,875.74/253,722.04
  6. Step 6: Final answer
    x = 114,406.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.