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Finding the Fourth Proportional to 340,536.73, 510,805.75 and 319,728.02

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Solution

The fourth proportional to 340,536.73, 510,805.75 and 319,728.02 is: 479,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,536.73 : 510,805.75 = 319,728.02 : x
  2. Step 2: Convert to fraction form
    340,536.73/510,805.75 = 319,728.02/x
  3. Step 3: Cross multiply
    340,536.73x = 510,805.75 × 319,728.02
  4. Step 4: Simplify right side
    340,536.73x = 163,318,911,052.12
  5. Step 5: Solve for x
    x = 163,318,911,052.12/340,536.73
  6. Step 6: Final answer
    x = 479,592.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.