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Finding the Fourth Proportional to 319,171.58, 478,773.77 and 82,516.31

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Solution

The fourth proportional to 319,171.58, 478,773.77 and 82,516.31 is: 123,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,171.58 : 478,773.77 = 82,516.31 : x
  2. Step 2: Convert to fraction form
    319,171.58/478,773.77 = 82,516.31/x
  3. Step 3: Cross multiply
    319,171.58x = 478,773.77 × 82,516.31
  4. Step 4: Simplify right side
    319,171.58x = 39,506,642,018.74
  5. Step 5: Solve for x
    x = 39,506,642,018.74/319,171.58
  6. Step 6: Final answer
    x = 123,778.70

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1.5x scale

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.