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Finding the Fourth Proportional to 371,456.64, 510,638.76 and 319,584.96

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Solution

The fourth proportional to 371,456.64, 510,638.76 and 319,584.96 is: 439,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,456.64 : 510,638.76 = 319,584.96 : x
  2. Step 2: Convert to fraction form
    371,456.64/510,638.76 = 319,584.96/x
  3. Step 3: Cross multiply
    371,456.64x = 510,638.76 × 319,584.96
  4. Step 4: Simplify right side
    371,456.64x = 163,192,467,689.05
  5. Step 5: Solve for x
    x = 163,192,467,689.05/371,456.64
  6. Step 6: Final answer
    x = 439,331.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.