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Finding the Fourth Proportional to 648,478.56, 973,311.10 and 328,851.01

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Solution

The fourth proportional to 648,478.56, 973,311.10 and 328,851.01 is: 493,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,478.56 : 973,311.10 = 328,851.01 : x
  2. Step 2: Convert to fraction form
    648,478.56/973,311.10 = 328,851.01/x
  3. Step 3: Cross multiply
    648,478.56x = 973,311.10 × 328,851.01
  4. Step 4: Simplify right side
    648,478.56x = 320,074,338,279.21
  5. Step 5: Solve for x
    x = 320,074,338,279.21/648,478.56
  6. Step 6: Final answer
    x = 493,577.36

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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.