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Finding the Fourth Proportional to 256,007.64, 353,289.96 and 148,640.52

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Solution

The fourth proportional to 256,007.64, 353,289.96 and 148,640.52 is: 205,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,007.64 : 353,289.96 = 148,640.52 : x
  2. Step 2: Convert to fraction form
    256,007.64/353,289.96 = 148,640.52/x
  3. Step 3: Cross multiply
    256,007.64x = 353,289.96 × 148,640.52
  4. Step 4: Simplify right side
    256,007.64x = 52,513,203,365.18
  5. Step 5: Solve for x
    x = 52,513,203,365.18/256,007.64
  6. Step 6: Final answer
    x = 205,123.58

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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.