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Finding the Fourth Proportional to 650,703.88, 976,686 and 313,981.30

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Solution

The fourth proportional to 650,703.88, 976,686 and 313,981.30 is: 471,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,703.88 : 976,686 = 313,981.30 : x
  2. Step 2: Convert to fraction form
    650,703.88/976,686 = 313,981.30/x
  3. Step 3: Cross multiply
    650,703.88x = 976,686 × 313,981.30
  4. Step 4: Simplify right side
    650,703.88x = 306,661,139,971.80
  5. Step 5: Solve for x
    x = 306,661,139,971.80/650,703.88
  6. Step 6: Final answer
    x = 471,276.03

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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.