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Finding the Fourth Proportional to 488,408.40, 731,475.36 and 474,955.20

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Solution

The fourth proportional to 488,408.40, 731,475.36 and 474,955.20 is: 711,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,408.40 : 731,475.36 = 474,955.20 : x
  2. Step 2: Convert to fraction form
    488,408.40/731,475.36 = 474,955.20/x
  3. Step 3: Cross multiply
    488,408.40x = 731,475.36 × 474,955.20
  4. Step 4: Simplify right side
    488,408.40x = 347,418,025,903.87
  5. Step 5: Solve for x
    x = 347,418,025,903.87/488,408.40
  6. Step 6: Final answer
    x = 711,326.89

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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.