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Finding the Fourth Proportional to 456,102.80, 683,117.40 and 288,141.20

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Solution

The fourth proportional to 456,102.80, 683,117.40 and 288,141.20 is: 431,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,102.80 : 683,117.40 = 288,141.20 : x
  2. Step 2: Convert to fraction form
    456,102.80/683,117.40 = 288,141.20/x
  3. Step 3: Cross multiply
    456,102.80x = 683,117.40 × 288,141.20
  4. Step 4: Simplify right side
    456,102.80x = 196,834,267,376.88
  5. Step 5: Solve for x
    x = 196,834,267,376.88/456,102.80
  6. Step 6: Final answer
    x = 431,556.81

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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.