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Finding the Fourth Proportional to 319,419.45, 478,132.47 and 235,274.49

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Solution

The fourth proportional to 319,419.45, 478,132.47 and 235,274.49 is: 352,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,419.45 : 478,132.47 = 235,274.49 : x
  2. Step 2: Convert to fraction form
    319,419.45/478,132.47 = 235,274.49/x
  3. Step 3: Cross multiply
    319,419.45x = 478,132.47 × 235,274.49
  4. Step 4: Simplify right side
    319,419.45x = 112,492,373,031.69
  5. Step 5: Solve for x
    x = 112,492,373,031.69/319,419.45
  6. Step 6: Final answer
    x = 352,177.59

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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.