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Finding the Fourth Proportional to 485,396.64, 728,129.52 and 152,964

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Solution

The fourth proportional to 485,396.64, 728,129.52 and 152,964 is: 229,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,396.64 : 728,129.52 = 152,964 : x
  2. Step 2: Convert to fraction form
    485,396.64/728,129.52 = 152,964/x
  3. Step 3: Cross multiply
    485,396.64x = 728,129.52 × 152,964
  4. Step 4: Simplify right side
    485,396.64x = 111,377,603,897.28
  5. Step 5: Solve for x
    x = 111,377,603,897.28/485,396.64
  6. Step 6: Final answer
    x = 229,456.89

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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.