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Finding the Fourth Proportional to 318,564.88, 478,722.60 and 297,759.76

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Solution

The fourth proportional to 318,564.88, 478,722.60 and 297,759.76 is: 447,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,564.88 : 478,722.60 = 297,759.76 : x
  2. Step 2: Convert to fraction form
    318,564.88/478,722.60 = 297,759.76/x
  3. Step 3: Cross multiply
    318,564.88x = 478,722.60 × 297,759.76
  4. Step 4: Simplify right side
    318,564.88x = 142,544,326,482.58
  5. Step 5: Solve for x
    x = 142,544,326,482.58/318,564.88
  6. Step 6: Final answer
    x = 447,457.76

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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.