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Finding the Fourth Proportional to 707,655.44, 976,490.30 and 413,314.40

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Solution

The fourth proportional to 707,655.44, 976,490.30 and 413,314.40 is: 570,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,655.44 : 976,490.30 = 413,314.40 : x
  2. Step 2: Convert to fraction form
    707,655.44/976,490.30 = 413,314.40/x
  3. Step 3: Cross multiply
    707,655.44x = 976,490.30 × 413,314.40
  4. Step 4: Simplify right side
    707,655.44x = 403,597,500,383.75
  5. Step 5: Solve for x
    x = 403,597,500,383.75/707,655.44
  6. Step 6: Final answer
    x = 570,330.53

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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.