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Finding the Fourth Proportional to 285,978.36, 429,045.30 and 99,004.44

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Solution

The fourth proportional to 285,978.36, 429,045.30 and 99,004.44 is: 148,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978.36 : 429,045.30 = 99,004.44 : x
  2. Step 2: Convert to fraction form
    285,978.36/429,045.30 = 99,004.44/x
  3. Step 3: Cross multiply
    285,978.36x = 429,045.30 × 99,004.44
  4. Step 4: Simplify right side
    285,978.36x = 42,477,389,661.13
  5. Step 5: Solve for x
    x = 42,477,389,661.13/285,978.36
  6. Step 6: Final answer
    x = 148,533.58

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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.