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Finding the Fourth Proportional to 319,613.40, 478,982.70 and 212,693.40

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Solution

The fourth proportional to 319,613.40, 478,982.70 and 212,693.40 is: 318,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,613.40 : 478,982.70 = 212,693.40 : x
  2. Step 2: Convert to fraction form
    319,613.40/478,982.70 = 212,693.40/x
  3. Step 3: Cross multiply
    319,613.40x = 478,982.70 × 212,693.40
  4. Step 4: Simplify right side
    319,613.40x = 101,876,459,004.18
  5. Step 5: Solve for x
    x = 101,876,459,004.18/319,613.40
  6. Step 6: Final answer
    x = 318,749.02

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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.