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Finding the Fourth Proportional to 560,809.31, 773,887.57 and 306,111.29

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Solution

The fourth proportional to 560,809.31, 773,887.57 and 306,111.29 is: 422,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,809.31 : 773,887.57 = 306,111.29 : x
  2. Step 2: Convert to fraction form
    560,809.31/773,887.57 = 306,111.29/x
  3. Step 3: Cross multiply
    560,809.31x = 773,887.57 × 306,111.29
  4. Step 4: Simplify right side
    560,809.31x = 236,895,717,732.95
  5. Step 5: Solve for x
    x = 236,895,717,732.95/560,809.31
  6. Step 6: Final answer
    x = 422,417.59

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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.