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Finding the Fourth Proportional to 257,457.53, 385,683.54 and 122,329.29

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Solution

The fourth proportional to 257,457.53, 385,683.54 and 122,329.29 is: 183,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,457.53 : 385,683.54 = 122,329.29 : x
  2. Step 2: Convert to fraction form
    257,457.53/385,683.54 = 122,329.29/x
  3. Step 3: Cross multiply
    257,457.53x = 385,683.54 × 122,329.29
  4. Step 4: Simplify right side
    257,457.53x = 47,180,393,612.89
  5. Step 5: Solve for x
    x = 47,180,393,612.89/257,457.53
  6. Step 6: Final answer
    x = 183,255.06

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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.