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Finding the Fourth Proportional to 354,316.80, 531,475.20 and 319,324.80

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Solution

The fourth proportional to 354,316.80, 531,475.20 and 319,324.80 is: 478,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,316.80 : 531,475.20 = 319,324.80 : x
  2. Step 2: Convert to fraction form
    354,316.80/531,475.20 = 319,324.80/x
  3. Step 3: Cross multiply
    354,316.80x = 531,475.20 × 319,324.80
  4. Step 4: Simplify right side
    354,316.80x = 169,713,211,944.96
  5. Step 5: Solve for x
    x = 169,713,211,944.96/354,316.80
  6. Step 6: Final answer
    x = 478,987.20

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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.