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Finding the Fourth Proportional to 664,521.96, 917,032.10 and 378,041.42

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Solution

The fourth proportional to 664,521.96, 917,032.10 and 378,041.42 is: 521,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,521.96 : 917,032.10 = 378,041.42 : x
  2. Step 2: Convert to fraction form
    664,521.96/917,032.10 = 378,041.42/x
  3. Step 3: Cross multiply
    664,521.96x = 917,032.10 × 378,041.42
  4. Step 4: Simplify right side
    664,521.96x = 346,676,117,269.58
  5. Step 5: Solve for x
    x = 346,676,117,269.58/664,521.96
  6. Step 6: Final answer
    x = 521,692.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.