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Finding the Fourth Proportional to 459,810.80, 689,716.20 and 319,842.80

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Solution

The fourth proportional to 459,810.80, 689,716.20 and 319,842.80 is: 479,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,810.80 : 689,716.20 = 319,842.80 : x
  2. Step 2: Convert to fraction form
    459,810.80/689,716.20 = 319,842.80/x
  3. Step 3: Cross multiply
    459,810.80x = 689,716.20 × 319,842.80
  4. Step 4: Simplify right side
    459,810.80x = 220,600,760,613.36
  5. Step 5: Solve for x
    x = 220,600,760,613.36/459,810.80
  6. Step 6: Final answer
    x = 479,764.20

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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.