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Finding the Fourth Proportional to 582,268.78, 803,537.33 and 320,653.45

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Solution

The fourth proportional to 582,268.78, 803,537.33 and 320,653.45 is: 442,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,268.78 : 803,537.33 = 320,653.45 : x
  2. Step 2: Convert to fraction form
    582,268.78/803,537.33 = 320,653.45/x
  3. Step 3: Cross multiply
    582,268.78x = 803,537.33 × 320,653.45
  4. Step 4: Simplify right side
    582,268.78x = 257,657,017,068.29
  5. Step 5: Solve for x
    x = 257,657,017,068.29/582,268.78
  6. Step 6: Final answer
    x = 442,505.29

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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.