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Finding the Fourth Proportional to 390,295.25, 538,410.13 and 261,239.21

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Solution

The fourth proportional to 390,295.25, 538,410.13 and 261,239.21 is: 360,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,295.25 : 538,410.13 = 261,239.21 : x
  2. Step 2: Convert to fraction form
    390,295.25/538,410.13 = 261,239.21/x
  3. Step 3: Cross multiply
    390,295.25x = 538,410.13 × 261,239.21
  4. Step 4: Simplify right side
    390,295.25x = 140,653,833,672.05
  5. Step 5: Solve for x
    x = 140,653,833,672.05/390,295.25
  6. Step 6: Final answer
    x = 360,378.04

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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.