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Finding the Fourth Proportional to 282,502, 389,887.41 and 163,270

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Solution

The fourth proportional to 282,502, 389,887.41 and 163,270 is: 225,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,502 : 389,887.41 = 163,270 : x
  2. Step 2: Convert to fraction form
    282,502/389,887.41 = 163,270/x
  3. Step 3: Cross multiply
    282,502x = 389,887.41 × 163,270
  4. Step 4: Simplify right side
    282,502x = 63,656,917,430.70
  5. Step 5: Solve for x
    x = 63,656,917,430.70/282,502
  6. Step 6: Final answer
    x = 225,332.63

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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.