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Finding the Fourth Proportional to 488,261.40, 731,954.70 and 319,862.40

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Solution

The fourth proportional to 488,261.40, 731,954.70 and 319,862.40 is: 479,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,261.40 : 731,954.70 = 319,862.40 : x
  2. Step 2: Convert to fraction form
    488,261.40/731,954.70 = 319,862.40/x
  3. Step 3: Cross multiply
    488,261.40x = 731,954.70 × 319,862.40
  4. Step 4: Simplify right side
    488,261.40x = 234,124,787,033.28
  5. Step 5: Solve for x
    x = 234,124,787,033.28/488,261.40
  6. Step 6: Final answer
    x = 479,507.06

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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.