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Finding the Fourth Proportional to 507,476.86, 760,976.91 and 294,305.35

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Solution

The fourth proportional to 507,476.86, 760,976.91 and 294,305.35 is: 441,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,476.86 : 760,976.91 = 294,305.35 : x
  2. Step 2: Convert to fraction form
    507,476.86/760,976.91 = 294,305.35/x
  3. Step 3: Cross multiply
    507,476.86x = 760,976.91 × 294,305.35
  4. Step 4: Simplify right side
    507,476.86x = 223,959,575,839.47
  5. Step 5: Solve for x
    x = 223,959,575,839.47/507,476.86
  6. Step 6: Final answer
    x = 441,319.78

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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.