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Finding the Fourth Proportional to 538,002.09, 742,414.44 and 308,547.51

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Solution

The fourth proportional to 538,002.09, 742,414.44 and 308,547.51 is: 425,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,002.09 : 742,414.44 = 308,547.51 : x
  2. Step 2: Convert to fraction form
    538,002.09/742,414.44 = 308,547.51/x
  3. Step 3: Cross multiply
    538,002.09x = 742,414.44 × 308,547.51
  4. Step 4: Simplify right side
    538,002.09x = 229,070,126,850.04
  5. Step 5: Solve for x
    x = 229,070,126,850.04/538,002.09
  6. Step 6: Final answer
    x = 425,779.25

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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.