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Finding the Fourth Proportional to 390,274.86, 538,382.02 and 261,218.74

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Solution

The fourth proportional to 390,274.86, 538,382.02 and 261,218.74 is: 360,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,274.86 : 538,382.02 = 261,218.74 : x
  2. Step 2: Convert to fraction form
    390,274.86/538,382.02 = 261,218.74/x
  3. Step 3: Cross multiply
    390,274.86x = 538,382.02 × 261,218.74
  4. Step 4: Simplify right side
    390,274.86x = 140,635,472,903.06
  5. Step 5: Solve for x
    x = 140,635,472,903.06/390,274.86
  6. Step 6: Final answer
    x = 360,349.81

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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.