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Finding the Fourth Proportional to 272,178.48, 407,714.76 and 140,574

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Solution

The fourth proportional to 272,178.48, 407,714.76 and 140,574 is: 210,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,178.48 : 407,714.76 = 140,574 : x
  2. Step 2: Convert to fraction form
    272,178.48/407,714.76 = 140,574/x
  3. Step 3: Cross multiply
    272,178.48x = 407,714.76 × 140,574
  4. Step 4: Simplify right side
    272,178.48x = 57,314,094,672.24
  5. Step 5: Solve for x
    x = 57,314,094,672.24/272,178.48
  6. Step 6: Final answer
    x = 210,575.41

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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.