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Finding the Fourth Proportional to 282,442, 423,662.64 and 72,079.93

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Solution

The fourth proportional to 282,442, 423,662.64 and 72,079.93 is: 108,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,442 : 423,662.64 = 72,079.93 : x
  2. Step 2: Convert to fraction form
    282,442/423,662.64 = 72,079.93/x
  3. Step 3: Cross multiply
    282,442x = 423,662.64 × 72,079.93
  4. Step 4: Simplify right side
    282,442x = 30,537,573,434.82
  5. Step 5: Solve for x
    x = 30,537,573,434.82/282,442
  6. Step 6: Final answer
    x = 108,119.80

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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.