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Finding the Fourth Proportional to 649,309.90, 973,302.45 and 438,969.10

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Solution

The fourth proportional to 649,309.90, 973,302.45 and 438,969.10 is: 658,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,309.90 : 973,302.45 = 438,969.10 : x
  2. Step 2: Convert to fraction form
    649,309.90/973,302.45 = 438,969.10/x
  3. Step 3: Cross multiply
    649,309.90x = 973,302.45 × 438,969.10
  4. Step 4: Simplify right side
    649,309.90x = 427,249,700,504.30
  5. Step 5: Solve for x
    x = 427,249,700,504.30/649,309.90
  6. Step 6: Final answer
    x = 658,005.83

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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.