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Finding the Fourth Proportional to 648,476.56, 973,308.10 and 328,849.01

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Solution

The fourth proportional to 648,476.56, 973,308.10 and 328,849.01 is: 493,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,476.56 : 973,308.10 = 328,849.01 : x
  2. Step 2: Convert to fraction form
    648,476.56/973,308.10 = 328,849.01/x
  3. Step 3: Cross multiply
    648,476.56x = 973,308.10 × 328,849.01
  4. Step 4: Simplify right side
    648,476.56x = 320,071,409,162.67
  5. Step 5: Solve for x
    x = 320,071,409,162.67/648,476.56
  6. Step 6: Final answer
    x = 493,574.37

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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.