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Finding the Fourth Proportional to 313,237.62, 432,071.28 and 185,823

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Solution

The fourth proportional to 313,237.62, 432,071.28 and 185,823 is: 256,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,237.62 : 432,071.28 = 185,823 : x
  2. Step 2: Convert to fraction form
    313,237.62/432,071.28 = 185,823/x
  3. Step 3: Cross multiply
    313,237.62x = 432,071.28 × 185,823
  4. Step 4: Simplify right side
    313,237.62x = 80,288,781,463.44
  5. Step 5: Solve for x
    x = 80,288,781,463.44/313,237.62
  6. Step 6: Final answer
    x = 256,319.09

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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.