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Finding the Fourth Proportional to 648,774.15, 973,369.45 and 311,839.26

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Solution

The fourth proportional to 648,774.15, 973,369.45 and 311,839.26 is: 467,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,774.15 : 973,369.45 = 311,839.26 : x
  2. Step 2: Convert to fraction form
    648,774.15/973,369.45 = 311,839.26/x
  3. Step 3: Cross multiply
    648,774.15x = 973,369.45 × 311,839.26
  4. Step 4: Simplify right side
    648,774.15x = 303,534,808,994.61
  5. Step 5: Solve for x
    x = 303,534,808,994.61/648,774.15
  6. Step 6: Final answer
    x = 467,858.98

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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.