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Finding the Fourth Proportional to 257,478.96, 386,325 and 139,010.94

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Solution

The fourth proportional to 257,478.96, 386,325 and 139,010.94 is: 208,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,478.96 : 386,325 = 139,010.94 : x
  2. Step 2: Convert to fraction form
    257,478.96/386,325 = 139,010.94/x
  3. Step 3: Cross multiply
    257,478.96x = 386,325 × 139,010.94
  4. Step 4: Simplify right side
    257,478.96x = 53,703,401,395.50
  5. Step 5: Solve for x
    x = 53,703,401,395.50/257,478.96
  6. Step 6: Final answer
    x = 208,573.94

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1.5x scale

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.