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Finding the Fourth Proportional to 328,472.40, 492,125.40 and 307,477.20

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Solution

The fourth proportional to 328,472.40, 492,125.40 and 307,477.20 is: 460,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,472.40 : 492,125.40 = 307,477.20 : x
  2. Step 2: Convert to fraction form
    328,472.40/492,125.40 = 307,477.20/x
  3. Step 3: Cross multiply
    328,472.40x = 492,125.40 × 307,477.20
  4. Step 4: Simplify right side
    328,472.40x = 151,317,340,040.88
  5. Step 5: Solve for x
    x = 151,317,340,040.88/328,472.40
  6. Step 6: Final answer
    x = 460,669.88

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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.