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Finding the Fourth Proportional to 384,804.10, 577,206.15 and 278,515.90

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Solution

The fourth proportional to 384,804.10, 577,206.15 and 278,515.90 is: 417,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,804.10 : 577,206.15 = 278,515.90 : x
  2. Step 2: Convert to fraction form
    384,804.10/577,206.15 = 278,515.90/x
  3. Step 3: Cross multiply
    384,804.10x = 577,206.15 × 278,515.90
  4. Step 4: Simplify right side
    384,804.10x = 160,761,090,352.79
  5. Step 5: Solve for x
    x = 160,761,090,352.79/384,804.10
  6. Step 6: Final answer
    x = 417,773.85

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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.