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Finding the Fourth Proportional to 538,009.56, 742,458.78 and 296,296.92

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Solution

The fourth proportional to 538,009.56, 742,458.78 and 296,296.92 is: 408,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,009.56 : 742,458.78 = 296,296.92 : x
  2. Step 2: Convert to fraction form
    538,009.56/742,458.78 = 296,296.92/x
  3. Step 3: Cross multiply
    538,009.56x = 742,458.78 × 296,296.92
  4. Step 4: Simplify right side
    538,009.56x = 219,988,249,740.96
  5. Step 5: Solve for x
    x = 219,988,249,740.96/538,009.56
  6. Step 6: Final answer
    x = 408,892.83

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1.5x scale

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.