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Finding the Fourth Proportional to 213,178.88, 319,463.22 and 156,575

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Solution

The fourth proportional to 213,178.88, 319,463.22 and 156,575 is: 234,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,178.88 : 319,463.22 = 156,575 : x
  2. Step 2: Convert to fraction form
    213,178.88/319,463.22 = 156,575/x
  3. Step 3: Cross multiply
    213,178.88x = 319,463.22 × 156,575
  4. Step 4: Simplify right side
    213,178.88x = 50,019,953,671.50
  5. Step 5: Solve for x
    x = 50,019,953,671.50/213,178.88
  6. Step 6: Final answer
    x = 234,638.41

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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.