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Finding the Fourth Proportional to 390,296.75, 538,412.19 and 261,240.71

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Solution

The fourth proportional to 390,296.75, 538,412.19 and 261,240.71 is: 360,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,296.75 : 538,412.19 = 261,240.71 : x
  2. Step 2: Convert to fraction form
    390,296.75/538,412.19 = 261,240.71/x
  3. Step 3: Cross multiply
    390,296.75x = 538,412.19 × 261,240.71
  4. Step 4: Simplify right side
    390,296.75x = 140,655,182,788.26
  5. Step 5: Solve for x
    x = 140,655,182,788.26/390,296.75
  6. Step 6: Final answer
    x = 360,380.10

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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.