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Finding the Fourth Proportional to 648,301.80, 972,015.30 and 311,503.80

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Solution

The fourth proportional to 648,301.80, 972,015.30 and 311,503.80 is: 467,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,301.80 : 972,015.30 = 311,503.80 : x
  2. Step 2: Convert to fraction form
    648,301.80/972,015.30 = 311,503.80/x
  3. Step 3: Cross multiply
    648,301.80x = 972,015.30 × 311,503.80
  4. Step 4: Simplify right side
    648,301.80x = 302,786,459,608.14
  5. Step 5: Solve for x
    x = 302,786,459,608.14/648,301.80
  6. Step 6: Final answer
    x = 467,045.53

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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.