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Finding the Fourth Proportional to 256,329.64, 353,710.62 and 148,896.76

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Solution

The fourth proportional to 256,329.64, 353,710.62 and 148,896.76 is: 205,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,329.64 : 353,710.62 = 148,896.76 : x
  2. Step 2: Convert to fraction form
    256,329.64/353,710.62 = 148,896.76/x
  3. Step 3: Cross multiply
    256,329.64x = 353,710.62 × 148,896.76
  4. Step 4: Simplify right side
    256,329.64x = 52,666,365,295.59
  5. Step 5: Solve for x
    x = 52,666,365,295.59/256,329.64
  6. Step 6: Final answer
    x = 205,463.42

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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.