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Finding the Fourth Proportional to 410,767.82, 615,600.99 and 319,693.23

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Solution

The fourth proportional to 410,767.82, 615,600.99 and 319,693.23 is: 479,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,767.82 : 615,600.99 = 319,693.23 : x
  2. Step 2: Convert to fraction form
    410,767.82/615,600.99 = 319,693.23/x
  3. Step 3: Cross multiply
    410,767.82x = 615,600.99 × 319,693.23
  4. Step 4: Simplify right side
    410,767.82x = 196,803,467,985.16
  5. Step 5: Solve for x
    x = 196,803,467,985.16/410,767.82
  6. Step 6: Final answer
    x = 479,111.21

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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.