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Finding the Fourth Proportional to 538,098.10, 742,580.40 and 296,381.56

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Solution

The fourth proportional to 538,098.10, 742,580.40 and 296,381.56 is: 409,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,098.10 : 742,580.40 = 296,381.56 : x
  2. Step 2: Convert to fraction form
    538,098.10/742,580.40 = 296,381.56/x
  3. Step 3: Cross multiply
    538,098.10x = 742,580.40 × 296,381.56
  4. Step 4: Simplify right side
    538,098.10x = 220,087,137,377.42
  5. Step 5: Solve for x
    x = 220,087,137,377.42/538,098.10
  6. Step 6: Final answer
    x = 409,009.32

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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.