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Finding the Fourth Proportional to 288,659.96, 430,876.14 and 254,572.28

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Solution

The fourth proportional to 288,659.96, 430,876.14 and 254,572.28 is: 379,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,659.96 : 430,876.14 = 254,572.28 : x
  2. Step 2: Convert to fraction form
    288,659.96/430,876.14 = 254,572.28/x
  3. Step 3: Cross multiply
    288,659.96x = 430,876.14 × 254,572.28
  4. Step 4: Simplify right side
    288,659.96x = 109,689,119,203.02
  5. Step 5: Solve for x
    x = 109,689,119,203.02/288,659.96
  6. Step 6: Final answer
    x = 379,994.24

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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.