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Finding the Fourth Proportional to 664,591.84, 917,014.08 and 378,095.20

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Solution

The fourth proportional to 664,591.84, 917,014.08 and 378,095.20 is: 521,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,591.84 : 917,014.08 = 378,095.20 : x
  2. Step 2: Convert to fraction form
    664,591.84/917,014.08 = 378,095.20/x
  3. Step 3: Cross multiply
    664,591.84x = 917,014.08 × 378,095.20
  4. Step 4: Simplify right side
    664,591.84x = 346,718,621,980.42
  5. Step 5: Solve for x
    x = 346,718,621,980.42/664,591.84
  6. Step 6: Final answer
    x = 521,701.59

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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.