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Finding the Fourth Proportional to 992,004.80, 1,488,064.80 and 282,084.80

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Solution

The fourth proportional to 992,004.80, 1,488,064.80 and 282,084.80 is: 423,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,004.80 : 1,488,064.80 = 282,084.80 : x
  2. Step 2: Convert to fraction form
    992,004.80/1,488,064.80 = 282,084.80/x
  3. Step 3: Cross multiply
    992,004.80x = 1,488,064.80 × 282,084.80
  4. Step 4: Simplify right side
    992,004.80x = 419,760,461,495.04
  5. Step 5: Solve for x
    x = 419,760,461,495.04/992,004.80
  6. Step 6: Final answer
    x = 423,143.58

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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.