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Finding the Fourth Proportional to 313,320.56, 432,389.68 and 185,996.64

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Solution

The fourth proportional to 313,320.56, 432,389.68 and 185,996.64 is: 256,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,320.56 : 432,389.68 = 185,996.64 : x
  2. Step 2: Convert to fraction form
    313,320.56/432,389.68 = 185,996.64/x
  3. Step 3: Cross multiply
    313,320.56x = 432,389.68 × 185,996.64
  4. Step 4: Simplify right side
    313,320.56x = 80,423,027,650.68
  5. Step 5: Solve for x
    x = 80,423,027,650.68/313,320.56
  6. Step 6: Final answer
    x = 256,679.70

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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.