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Finding the Fourth Proportional to 644,254.83, 965,955.71 and 307,347.48

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Solution

The fourth proportional to 644,254.83, 965,955.71 and 307,347.48 is: 460,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,254.83 : 965,955.71 = 307,347.48 : x
  2. Step 2: Convert to fraction form
    644,254.83/965,955.71 = 307,347.48/x
  3. Step 3: Cross multiply
    644,254.83x = 965,955.71 × 307,347.48
  4. Step 4: Simplify right side
    644,254.83x = 296,884,054,028.48
  5. Step 5: Solve for x
    x = 296,884,054,028.48/644,254.83
  6. Step 6: Final answer
    x = 460,817.74

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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.