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Finding the Fourth Proportional to 538,085.76, 742,547.52 and 336,992.64

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Solution

The fourth proportional to 538,085.76, 742,547.52 and 336,992.64 is: 465,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,085.76 : 742,547.52 = 336,992.64 : x
  2. Step 2: Convert to fraction form
    538,085.76/742,547.52 = 336,992.64/x
  3. Step 3: Cross multiply
    538,085.76x = 742,547.52 × 336,992.64
  4. Step 4: Simplify right side
    538,085.76x = 250,233,049,090.25
  5. Step 5: Solve for x
    x = 250,233,049,090.25/538,085.76
  6. Step 6: Final answer
    x = 465,043.06

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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.