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Finding the Fourth Proportional to 646,123.71, 891,650.75 and 359,637.66

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Solution

The fourth proportional to 646,123.71, 891,650.75 and 359,637.66 is: 496,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,123.71 : 891,650.75 = 359,637.66 : x
  2. Step 2: Convert to fraction form
    646,123.71/891,650.75 = 359,637.66/x
  3. Step 3: Cross multiply
    646,123.71x = 891,650.75 × 359,637.66
  4. Step 4: Simplify right side
    646,123.71x = 320,671,187,469.06
  5. Step 5: Solve for x
    x = 320,671,187,469.06/646,123.71
  6. Step 6: Final answer
    x = 496,299.98

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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.