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Finding the Fourth Proportional to 611,776.64, 844,386.80 and 339,938

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Solution

The fourth proportional to 611,776.64, 844,386.80 and 339,938 is: 469,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,776.64 : 844,386.80 = 339,938 : x
  2. Step 2: Convert to fraction form
    611,776.64/844,386.80 = 339,938/x
  3. Step 3: Cross multiply
    611,776.64x = 844,386.80 × 339,938
  4. Step 4: Simplify right side
    611,776.64x = 287,039,160,018.40
  5. Step 5: Solve for x
    x = 287,039,160,018.40/611,776.64
  6. Step 6: Final answer
    x = 469,189.47

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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.