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Finding the Fourth Proportional to 478,354.14, 717,696.72 and 212,301

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Solution

The fourth proportional to 478,354.14, 717,696.72 and 212,301 is: 318,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,354.14 : 717,696.72 = 212,301 : x
  2. Step 2: Convert to fraction form
    478,354.14/717,696.72 = 212,301/x
  3. Step 3: Cross multiply
    478,354.14x = 717,696.72 × 212,301
  4. Step 4: Simplify right side
    478,354.14x = 152,367,731,352.72
  5. Step 5: Solve for x
    x = 152,367,731,352.72/478,354.14
  6. Step 6: Final answer
    x = 318,524.96

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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.