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Finding the Fourth Proportional to 282,424.50, 389,780.37 and 163,192.50

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Solution

The fourth proportional to 282,424.50, 389,780.37 and 163,192.50 is: 225,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,424.50 : 389,780.37 = 163,192.50 : x
  2. Step 2: Convert to fraction form
    282,424.50/389,780.37 = 163,192.50/x
  3. Step 3: Cross multiply
    282,424.50x = 389,780.37 × 163,192.50
  4. Step 4: Simplify right side
    282,424.50x = 63,609,233,031.23
  5. Step 5: Solve for x
    x = 63,609,233,031.23/282,424.50
  6. Step 6: Final answer
    x = 225,225.62

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1.5x scale

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.