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Finding the Fourth Proportional to 430,648.96, 644,398.80 and 253,239.52

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Solution

The fourth proportional to 430,648.96, 644,398.80 and 253,239.52 is: 378,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,648.96 : 644,398.80 = 253,239.52 : x
  2. Step 2: Convert to fraction form
    430,648.96/644,398.80 = 253,239.52/x
  3. Step 3: Cross multiply
    430,648.96x = 644,398.80 × 253,239.52
  4. Step 4: Simplify right side
    430,648.96x = 163,187,242,800.58
  5. Step 5: Solve for x
    x = 163,187,242,800.58/430,648.96
  6. Step 6: Final answer
    x = 378,933.33

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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.