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Finding the Fourth Proportional to 280,129.02, 418,407.22 and 253,433.86

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Solution

The fourth proportional to 280,129.02, 418,407.22 and 253,433.86 is: 378,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,129.02 : 418,407.22 = 253,433.86 : x
  2. Step 2: Convert to fraction form
    280,129.02/418,407.22 = 253,433.86/x
  3. Step 3: Cross multiply
    280,129.02x = 418,407.22 × 253,433.86
  4. Step 4: Simplify right side
    280,129.02x = 106,038,556,816.47
  5. Step 5: Solve for x
    x = 106,038,556,816.47/280,129.02
  6. Step 6: Final answer
    x = 378,534.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.