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Finding the Fourth Proportional to 282,503.64, 423,665.40 and 92,920.68

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Solution

The fourth proportional to 282,503.64, 423,665.40 and 92,920.68 is: 139,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,503.64 : 423,665.40 = 92,920.68 : x
  2. Step 2: Convert to fraction form
    282,503.64/423,665.40 = 92,920.68/x
  3. Step 3: Cross multiply
    282,503.64x = 423,665.40 × 92,920.68
  4. Step 4: Simplify right side
    282,503.64x = 39,367,277,060.47
  5. Step 5: Solve for x
    x = 39,367,277,060.47/282,503.64
  6. Step 6: Final answer
    x = 139,351.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.