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Finding the Fourth Proportional to 655,830.27, 983,745.61 and 506,288.88

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Solution

The fourth proportional to 655,830.27, 983,745.61 and 506,288.88 is: 759,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,830.27 : 983,745.61 = 506,288.88 : x
  2. Step 2: Convert to fraction form
    655,830.27/983,745.61 = 506,288.88/x
  3. Step 3: Cross multiply
    655,830.27x = 983,745.61 × 506,288.88
  4. Step 4: Simplify right side
    655,830.27x = 498,059,461,826.10
  5. Step 5: Solve for x
    x = 498,059,461,826.10/655,830.27
  6. Step 6: Final answer
    x = 759,433.48

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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.