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Finding the Fourth Proportional to 538,235.70, 742,631.10 and 347,019

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Solution

The fourth proportional to 538,235.70, 742,631.10 and 347,019 is: 478,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,235.70 : 742,631.10 = 347,019 : x
  2. Step 2: Convert to fraction form
    538,235.70/742,631.10 = 347,019/x
  3. Step 3: Cross multiply
    538,235.70x = 742,631.10 × 347,019
  4. Step 4: Simplify right side
    538,235.70x = 257,707,101,690.90
  5. Step 5: Solve for x
    x = 257,707,101,690.90/538,235.70
  6. Step 6: Final answer
    x = 478,799.72

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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.