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Finding the Fourth Proportional to 257,384.40, 385,896.60 and 152,149.20

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Solution

The fourth proportional to 257,384.40, 385,896.60 and 152,149.20 is: 228,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,384.40 : 385,896.60 = 152,149.20 : x
  2. Step 2: Convert to fraction form
    257,384.40/385,896.60 = 152,149.20/x
  3. Step 3: Cross multiply
    257,384.40x = 385,896.60 × 152,149.20
  4. Step 4: Simplify right side
    257,384.40x = 58,713,858,972.72
  5. Step 5: Solve for x
    x = 58,713,858,972.72/257,384.40
  6. Step 6: Final answer
    x = 228,117.40

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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.