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Finding the Fourth Proportional to 319,876.80, 477,741.14 and 289,830.96

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Solution

The fourth proportional to 319,876.80, 477,741.14 and 289,830.96 is: 432,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,876.80 : 477,741.14 = 289,830.96 : x
  2. Step 2: Convert to fraction form
    319,876.80/477,741.14 = 289,830.96/x
  3. Step 3: Cross multiply
    319,876.80x = 477,741.14 × 289,830.96
  4. Step 4: Simplify right side
    319,876.80x = 138,464,172,875.41
  5. Step 5: Solve for x
    x = 138,464,172,875.41/319,876.80
  6. Step 6: Final answer
    x = 432,867.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.