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Finding the Fourth Proportional to 313,145.94, 432,146.42 and 169,905.98

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Solution

The fourth proportional to 313,145.94, 432,146.42 and 169,905.98 is: 234,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,145.94 : 432,146.42 = 169,905.98 : x
  2. Step 2: Convert to fraction form
    313,145.94/432,146.42 = 169,905.98/x
  3. Step 3: Cross multiply
    313,145.94x = 432,146.42 × 169,905.98
  4. Step 4: Simplify right side
    313,145.94x = 73,424,260,168.30
  5. Step 5: Solve for x
    x = 73,424,260,168.30/313,145.94
  6. Step 6: Final answer
    x = 234,472.98

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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.