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Finding the Fourth Proportional to 452,345.82, 677,485.30 and 215,854.58

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Solution

The fourth proportional to 452,345.82, 677,485.30 and 215,854.58 is: 323,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,345.82 : 677,485.30 = 215,854.58 : x
  2. Step 2: Convert to fraction form
    452,345.82/677,485.30 = 215,854.58/x
  3. Step 3: Cross multiply
    452,345.82x = 677,485.30 × 215,854.58
  4. Step 4: Simplify right side
    452,345.82x = 146,238,304,887.67
  5. Step 5: Solve for x
    x = 146,238,304,887.67/452,345.82
  6. Step 6: Final answer
    x = 323,288.73

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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.