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Finding the Fourth Proportional to 286,410.38, 429,615.56 and 99,421.88

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Solution

The fourth proportional to 286,410.38, 429,615.56 and 99,421.88 is: 149,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,410.38 : 429,615.56 = 99,421.88 : x
  2. Step 2: Convert to fraction form
    286,410.38/429,615.56 = 99,421.88/x
  3. Step 3: Cross multiply
    286,410.38x = 429,615.56 × 99,421.88
  4. Step 4: Simplify right side
    286,410.38x = 42,713,184,752.93
  5. Step 5: Solve for x
    x = 42,713,184,752.93/286,410.38
  6. Step 6: Final answer
    x = 149,132.81

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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.