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Finding the Fourth Proportional to 256,011.48, 353,315.88 and 141,312.90

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Solution

The fourth proportional to 256,011.48, 353,315.88 and 141,312.90 is: 195,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,011.48 : 353,315.88 = 141,312.90 : x
  2. Step 2: Convert to fraction form
    256,011.48/353,315.88 = 141,312.90/x
  3. Step 3: Cross multiply
    256,011.48x = 353,315.88 × 141,312.90
  4. Step 4: Simplify right side
    256,011.48x = 49,928,089,852.27
  5. Step 5: Solve for x
    x = 49,928,089,852.27/256,011.48
  6. Step 6: Final answer
    x = 195,022.86

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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.