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Finding the Fourth Proportional to 286,164.72, 428,984.28 and 99,045.36

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Solution

The fourth proportional to 286,164.72, 428,984.28 and 99,045.36 is: 148,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,164.72 : 428,984.28 = 99,045.36 : x
  2. Step 2: Convert to fraction form
    286,164.72/428,984.28 = 99,045.36/x
  3. Step 3: Cross multiply
    286,164.72x = 428,984.28 × 99,045.36
  4. Step 4: Simplify right side
    286,164.72x = 42,488,902,446.94
  5. Step 5: Solve for x
    x = 42,488,902,446.94/286,164.72
  6. Step 6: Final answer
    x = 148,477.08

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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.