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Finding the Fourth Proportional to 650,585.70, 976,212.15 and 313,913.47

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Solution

The fourth proportional to 650,585.70, 976,212.15 and 313,913.47 is: 471,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,585.70 : 976,212.15 = 313,913.47 : x
  2. Step 2: Convert to fraction form
    650,585.70/976,212.15 = 313,913.47/x
  3. Step 3: Cross multiply
    650,585.70x = 976,212.15 × 313,913.47
  4. Step 4: Simplify right side
    650,585.70x = 306,446,143,462.66
  5. Step 5: Solve for x
    x = 306,446,143,462.66/650,585.70
  6. Step 6: Final answer
    x = 471,031.17

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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.