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Finding the Fourth Proportional to 648,494.10, 973,907.55 and 471,201.30

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Solution

The fourth proportional to 648,494.10, 973,907.55 and 471,201.30 is: 707,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,494.10 : 973,907.55 = 471,201.30 : x
  2. Step 2: Convert to fraction form
    648,494.10/973,907.55 = 471,201.30/x
  3. Step 3: Cross multiply
    648,494.10x = 973,907.55 × 471,201.30
  4. Step 4: Simplify right side
    648,494.10x = 458,906,503,639.82
  5. Step 5: Solve for x
    x = 458,906,503,639.82/648,494.10
  6. Step 6: Final answer
    x = 707,649.47

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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.