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Finding the Fourth Proportional to 282,151.33, 389,368.28 and 153,089.76

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Solution

The fourth proportional to 282,151.33, 389,368.28 and 153,089.76 is: 211,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,151.33 : 389,368.28 = 153,089.76 : x
  2. Step 2: Convert to fraction form
    282,151.33/389,368.28 = 153,089.76/x
  3. Step 3: Cross multiply
    282,151.33x = 389,368.28 × 153,089.76
  4. Step 4: Simplify right side
    282,151.33x = 59,608,296,919.54
  5. Step 5: Solve for x
    x = 59,608,296,919.54/282,151.33
  6. Step 6: Final answer
    x = 211,263.57

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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.