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Finding the Fourth Proportional to 313,482.30, 432,642.52 and 186,157.90

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Solution

The fourth proportional to 313,482.30, 432,642.52 and 186,157.90 is: 256,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,482.30 : 432,642.52 = 186,157.90 : x
  2. Step 2: Convert to fraction form
    313,482.30/432,642.52 = 186,157.90/x
  3. Step 3: Cross multiply
    313,482.30x = 432,642.52 × 186,157.90
  4. Step 4: Simplify right side
    313,482.30x = 80,539,820,266.66
  5. Step 5: Solve for x
    x = 80,539,820,266.66/313,482.30
  6. Step 6: Final answer
    x = 256,919.83

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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.