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Finding the Fourth Proportional to 419,503.49, 578,887.53 and 247,381.98

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Solution

The fourth proportional to 419,503.49, 578,887.53 and 247,381.98 is: 341,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,503.49 : 578,887.53 = 247,381.98 : x
  2. Step 2: Convert to fraction form
    419,503.49/578,887.53 = 247,381.98/x
  3. Step 3: Cross multiply
    419,503.49x = 578,887.53 × 247,381.98
  4. Step 4: Simplify right side
    419,503.49x = 143,206,343,368.71
  5. Step 5: Solve for x
    x = 143,206,343,368.71/419,503.49
  6. Step 6: Final answer
    x = 341,371.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.