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Finding the Fourth Proportional to 313,722.72, 432,936 and 170,480.16

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Solution

The fourth proportional to 313,722.72, 432,936 and 170,480.16 is: 235,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,722.72 : 432,936 = 170,480.16 : x
  2. Step 2: Convert to fraction form
    313,722.72/432,936 = 170,480.16/x
  3. Step 3: Cross multiply
    313,722.72x = 432,936 × 170,480.16
  4. Step 4: Simplify right side
    313,722.72x = 73,806,998,549.76
  5. Step 5: Solve for x
    x = 73,806,998,549.76/313,722.72
  6. Step 6: Final answer
    x = 235,261.89

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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.