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Finding the Fourth Proportional to 313,428.82, 432,533.40 and 170,188.82

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Solution

The fourth proportional to 313,428.82, 432,533.40 and 170,188.82 is: 234,861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,428.82 : 432,533.40 = 170,188.82 : x
  2. Step 2: Convert to fraction form
    313,428.82/432,533.40 = 170,188.82/x
  3. Step 3: Cross multiply
    313,428.82x = 432,533.40 × 170,188.82
  4. Step 4: Simplify right side
    313,428.82x = 73,612,348,956.59
  5. Step 5: Solve for x
    x = 73,612,348,956.59/313,428.82
  6. Step 6: Final answer
    x = 234,861.46

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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.