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Finding the Fourth Proportional to 257,586.40, 386,199.60 and 152,351.20

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Solution

The fourth proportional to 257,586.40, 386,199.60 and 152,351.20 is: 228,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,586.40 : 386,199.60 = 152,351.20 : x
  2. Step 2: Convert to fraction form
    257,586.40/386,199.60 = 152,351.20/x
  3. Step 3: Cross multiply
    257,586.40x = 386,199.60 × 152,351.20
  4. Step 4: Simplify right side
    257,586.40x = 58,837,972,499.52
  5. Step 5: Solve for x
    x = 58,837,972,499.52/257,586.40
  6. Step 6: Final answer
    x = 228,420.34

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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.