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Finding the Fourth Proportional to 328,709.76, 453,208.40 and 274,340.16

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Solution

The fourth proportional to 328,709.76, 453,208.40 and 274,340.16 is: 378,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,709.76 : 453,208.40 = 274,340.16 : x
  2. Step 2: Convert to fraction form
    328,709.76/453,208.40 = 274,340.16/x
  3. Step 3: Cross multiply
    328,709.76x = 453,208.40 × 274,340.16
  4. Step 4: Simplify right side
    328,709.76x = 124,333,264,969.34
  5. Step 5: Solve for x
    x = 124,333,264,969.34/328,709.76
  6. Step 6: Final answer
    x = 378,246.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.