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Finding the Fourth Proportional to 272,437.56, 408,903.54 and 139,409.72

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Solution

The fourth proportional to 272,437.56, 408,903.54 and 139,409.72 is: 209,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,437.56 : 408,903.54 = 139,409.72 : x
  2. Step 2: Convert to fraction form
    272,437.56/408,903.54 = 139,409.72/x
  3. Step 3: Cross multiply
    272,437.56x = 408,903.54 × 139,409.72
  4. Step 4: Simplify right side
    272,437.56x = 57,005,128,018.41
  5. Step 5: Solve for x
    x = 57,005,128,018.41/272,437.56
  6. Step 6: Final answer
    x = 209,241.08

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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.