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Finding the Fourth Proportional to 340,535.73, 510,804.25 and 319,727.02

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Solution

The fourth proportional to 340,535.73, 510,804.25 and 319,727.02 is: 479,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,535.73 : 510,804.25 = 319,727.02 : x
  2. Step 2: Convert to fraction form
    340,535.73/510,804.25 = 319,727.02/x
  3. Step 3: Cross multiply
    340,535.73x = 510,804.25 × 319,727.02
  4. Step 4: Simplify right side
    340,535.73x = 163,317,918,134.90
  5. Step 5: Solve for x
    x = 163,317,918,134.90/340,535.73
  6. Step 6: Final answer
    x = 479,591.13

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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.