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Finding the Fourth Proportional to 707,433.64, 976,264.32 and 385,145.98

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Solution

The fourth proportional to 707,433.64, 976,264.32 and 385,145.98 is: 531,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,433.64 : 976,264.32 = 385,145.98 : x
  2. Step 2: Convert to fraction form
    707,433.64/976,264.32 = 385,145.98/x
  3. Step 3: Cross multiply
    707,433.64x = 976,264.32 × 385,145.98
  4. Step 4: Simplify right side
    707,433.64x = 376,004,278,265.43
  5. Step 5: Solve for x
    x = 376,004,278,265.43/707,433.64
  6. Step 6: Final answer
    x = 531,504.66

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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.