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Finding the Fourth Proportional to 538,235.82, 742,737.85 and 296,513.10

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Solution

The fourth proportional to 538,235.82, 742,737.85 and 296,513.10 is: 409,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,235.82 : 742,737.85 = 296,513.10 : x
  2. Step 2: Convert to fraction form
    538,235.82/742,737.85 = 296,513.10/x
  3. Step 3: Cross multiply
    538,235.82x = 742,737.85 × 296,513.10
  4. Step 4: Simplify right side
    538,235.82x = 220,231,501,649.55
  5. Step 5: Solve for x
    x = 220,231,501,649.55/538,235.82
  6. Step 6: Final answer
    x = 409,172.88

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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.