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Finding the Fourth Proportional to 480,977.72, 721,564.98 and 165,393.64

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Solution

The fourth proportional to 480,977.72, 721,564.98 and 165,393.64 is: 248,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,977.72 : 721,564.98 = 165,393.64 : x
  2. Step 2: Convert to fraction form
    480,977.72/721,564.98 = 165,393.64/x
  3. Step 3: Cross multiply
    480,977.72x = 721,564.98 × 165,393.64
  4. Step 4: Simplify right side
    480,977.72x = 119,342,258,538.73
  5. Step 5: Solve for x
    x = 119,342,258,538.73/480,977.72
  6. Step 6: Final answer
    x = 248,124.30

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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.