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Finding the Fourth Proportional to 519,154.86, 778,076.19 and 278,672.34

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Solution

The fourth proportional to 519,154.86, 778,076.19 and 278,672.34 is: 417,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,154.86 : 778,076.19 = 278,672.34 : x
  2. Step 2: Convert to fraction form
    519,154.86/778,076.19 = 278,672.34/x
  3. Step 3: Cross multiply
    519,154.86x = 778,076.19 × 278,672.34
  4. Step 4: Simplify right side
    519,154.86x = 216,828,312,565.59
  5. Step 5: Solve for x
    x = 216,828,312,565.59/519,154.86
  6. Step 6: Final answer
    x = 417,656.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.