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Finding the Fourth Proportional to 464,556.30, 697,271.85 and 287,409.30

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Solution

The fourth proportional to 464,556.30, 697,271.85 and 287,409.30 is: 431,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,556.30 : 697,271.85 = 287,409.30 : x
  2. Step 2: Convert to fraction form
    464,556.30/697,271.85 = 287,409.30/x
  3. Step 3: Cross multiply
    464,556.30x = 697,271.85 × 287,409.30
  4. Step 4: Simplify right side
    464,556.30x = 200,402,414,318.21
  5. Step 5: Solve for x
    x = 200,402,414,318.21/464,556.30
  6. Step 6: Final answer
    x = 431,384.56

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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.