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Finding the Fourth Proportional to 548,686.40, 824,779.20 and 517,193.60

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Solution

The fourth proportional to 548,686.40, 824,779.20 and 517,193.60 is: 777,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,686.40 : 824,779.20 = 517,193.60 : x
  2. Step 2: Convert to fraction form
    548,686.40/824,779.20 = 517,193.60/x
  3. Step 3: Cross multiply
    548,686.40x = 824,779.20 × 517,193.60
  4. Step 4: Simplify right side
    548,686.40x = 426,570,523,653.12
  5. Step 5: Solve for x
    x = 426,570,523,653.12/548,686.40
  6. Step 6: Final answer
    x = 777,439.58

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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.