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Finding the Fourth Proportional to 515,078.34, 772,830.09 and 278,142

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Solution

The fourth proportional to 515,078.34, 772,830.09 and 278,142 is: 417,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,078.34 : 772,830.09 = 278,142 : x
  2. Step 2: Convert to fraction form
    515,078.34/772,830.09 = 278,142/x
  3. Step 3: Cross multiply
    515,078.34x = 772,830.09 × 278,142
  4. Step 4: Simplify right side
    515,078.34x = 214,956,506,892.78
  5. Step 5: Solve for x
    x = 214,956,506,892.78/515,078.34
  6. Step 6: Final answer
    x = 417,327.79

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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.