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Finding the Fourth Proportional to 354,264.40, 531,396.60 and 319,272.40

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Solution

The fourth proportional to 354,264.40, 531,396.60 and 319,272.40 is: 478,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,264.40 : 531,396.60 = 319,272.40 : x
  2. Step 2: Convert to fraction form
    354,264.40/531,396.60 = 319,272.40/x
  3. Step 3: Cross multiply
    354,264.40x = 531,396.60 × 319,272.40
  4. Step 4: Simplify right side
    354,264.40x = 169,660,267,833.84
  5. Step 5: Solve for x
    x = 169,660,267,833.84/354,264.40
  6. Step 6: Final answer
    x = 478,908.60

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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.