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Finding the Fourth Proportional to 354,223.40, 531,335.10 and 319,231.40

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Solution

The fourth proportional to 354,223.40, 531,335.10 and 319,231.40 is: 478,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,223.40 : 531,335.10 = 319,231.40 : x
  2. Step 2: Convert to fraction form
    354,223.40/531,335.10 = 319,231.40/x
  3. Step 3: Cross multiply
    354,223.40x = 531,335.10 × 319,231.40
  4. Step 4: Simplify right side
    354,223.40x = 169,618,847,842.14
  5. Step 5: Solve for x
    x = 169,618,847,842.14/354,223.40
  6. Step 6: Final answer
    x = 478,847.10

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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.