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Finding the Fourth Proportional to 455,178, 628,145.20 and 253,974

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Solution

The fourth proportional to 455,178, 628,145.20 and 253,974 is: 350,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,178 : 628,145.20 = 253,974 : x
  2. Step 2: Convert to fraction form
    455,178/628,145.20 = 253,974/x
  3. Step 3: Cross multiply
    455,178x = 628,145.20 × 253,974
  4. Step 4: Simplify right side
    455,178x = 159,532,549,024.80
  5. Step 5: Solve for x
    x = 159,532,549,024.80/455,178
  6. Step 6: Final answer
    x = 350,483.87

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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.