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Finding the Fourth Proportional to 257,440.40, 385,577.40 and 152,464.40

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Solution

The fourth proportional to 257,440.40, 385,577.40 and 152,464.40 is: 228,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,440.40 : 385,577.40 = 152,464.40 : x
  2. Step 2: Convert to fraction form
    257,440.40/385,577.40 = 152,464.40/x
  3. Step 3: Cross multiply
    257,440.40x = 385,577.40 × 152,464.40
  4. Step 4: Simplify right side
    257,440.40x = 58,786,826,944.56
  5. Step 5: Solve for x
    x = 58,786,826,944.56/257,440.40
  6. Step 6: Final answer
    x = 228,351.21

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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.