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Finding the Fourth Proportional to 390,340.74, 538,818.87 and 254,407.80

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Solution

The fourth proportional to 390,340.74, 538,818.87 and 254,407.80 is: 351,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,340.74 : 538,818.87 = 254,407.80 : x
  2. Step 2: Convert to fraction form
    390,340.74/538,818.87 = 254,407.80/x
  3. Step 3: Cross multiply
    390,340.74x = 538,818.87 × 254,407.80
  4. Step 4: Simplify right side
    390,340.74x = 137,079,723,315.19
  5. Step 5: Solve for x
    x = 137,079,723,315.19/390,340.74
  6. Step 6: Final answer
    x = 351,179.65

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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.