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Finding the Fourth Proportional to 282,528, 389,923.20 and 163,296

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Solution

The fourth proportional to 282,528, 389,923.20 and 163,296 is: 225,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,528 : 389,923.20 = 163,296 : x
  2. Step 2: Convert to fraction form
    282,528/389,923.20 = 163,296/x
  3. Step 3: Cross multiply
    282,528x = 389,923.20 × 163,296
  4. Step 4: Simplify right side
    282,528x = 63,672,898,867.20
  5. Step 5: Solve for x
    x = 63,672,898,867.20/282,528
  6. Step 6: Final answer
    x = 225,368.46

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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.