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Finding the Fourth Proportional to 282,031.76, 388,983.84 and 174,661.40

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Solution

The fourth proportional to 282,031.76, 388,983.84 and 174,661.40 is: 240,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,031.76 : 388,983.84 = 174,661.40 : x
  2. Step 2: Convert to fraction form
    282,031.76/388,983.84 = 174,661.40/x
  3. Step 3: Cross multiply
    282,031.76x = 388,983.84 × 174,661.40
  4. Step 4: Simplify right side
    282,031.76x = 67,940,462,071.78
  5. Step 5: Solve for x
    x = 67,940,462,071.78/282,031.76
  6. Step 6: Final answer
    x = 240,896.49

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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.