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Finding the Fourth Proportional to 313,256.94, 432,295 and 170,016.98

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Solution

The fourth proportional to 313,256.94, 432,295 and 170,016.98 is: 234,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,256.94 : 432,295 = 170,016.98 : x
  2. Step 2: Convert to fraction form
    313,256.94/432,295 = 170,016.98/x
  3. Step 3: Cross multiply
    313,256.94x = 432,295 × 170,016.98
  4. Step 4: Simplify right side
    313,256.94x = 73,497,490,369.10
  5. Step 5: Solve for x
    x = 73,497,490,369.10/313,256.94
  6. Step 6: Final answer
    x = 234,623.66

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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.