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Finding the Fourth Proportional to 384,804.60, 577,206.90 and 278,516.40

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Solution

The fourth proportional to 384,804.60, 577,206.90 and 278,516.40 is: 417,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,804.60 : 577,206.90 = 278,516.40 : x
  2. Step 2: Convert to fraction form
    384,804.60/577,206.90 = 278,516.40/x
  3. Step 3: Cross multiply
    384,804.60x = 577,206.90 × 278,516.40
  4. Step 4: Simplify right side
    384,804.60x = 160,761,587,843.16
  5. Step 5: Solve for x
    x = 160,761,587,843.16/384,804.60
  6. Step 6: Final answer
    x = 417,774.60

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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.