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Finding the Fourth Proportional to 257,792.40, 355,880.52 and 162,445.68

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Solution

The fourth proportional to 257,792.40, 355,880.52 and 162,445.68 is: 224,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,792.40 : 355,880.52 = 162,445.68 : x
  2. Step 2: Convert to fraction form
    257,792.40/355,880.52 = 162,445.68/x
  3. Step 3: Cross multiply
    257,792.40x = 355,880.52 × 162,445.68
  4. Step 4: Simplify right side
    257,792.40x = 57,811,253,070.15
  5. Step 5: Solve for x
    x = 57,811,253,070.15/257,792.40
  6. Step 6: Final answer
    x = 224,255.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.