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Finding the Fourth Proportional to 390,295.75, 538,410.82 and 261,239.71

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Solution

The fourth proportional to 390,295.75, 538,410.82 and 261,239.71 is: 360,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,295.75 : 538,410.82 = 261,239.71 : x
  2. Step 2: Convert to fraction form
    390,295.75/538,410.82 = 261,239.71/x
  3. Step 3: Cross multiply
    390,295.75x = 538,410.82 × 261,239.71
  4. Step 4: Simplify right side
    390,295.75x = 140,654,282,479.41
  5. Step 5: Solve for x
    x = 140,654,282,479.41/390,295.75
  6. Step 6: Final answer
    x = 360,378.72

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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.