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Finding the Fourth Proportional to 257,706.48, 355,628.08 and 141,419.60

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Solution

The fourth proportional to 257,706.48, 355,628.08 and 141,419.60 is: 195,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,706.48 : 355,628.08 = 141,419.60 : x
  2. Step 2: Convert to fraction form
    257,706.48/355,628.08 = 141,419.60/x
  3. Step 3: Cross multiply
    257,706.48x = 355,628.08 × 141,419.60
  4. Step 4: Simplify right side
    257,706.48x = 50,292,780,822.37
  5. Step 5: Solve for x
    x = 50,292,780,822.37/257,706.48
  6. Step 6: Final answer
    x = 195,155.28

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1.5x scale

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.