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Finding the Fourth Proportional to 286,421.12, 429,636 and 99,438.56

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Solution

The fourth proportional to 286,421.12, 429,636 and 99,438.56 is: 149,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,421.12 : 429,636 = 99,438.56 : x
  2. Step 2: Convert to fraction form
    286,421.12/429,636 = 99,438.56/x
  3. Step 3: Cross multiply
    286,421.12x = 429,636 × 99,438.56
  4. Step 4: Simplify right side
    286,421.12x = 42,722,385,164.16
  5. Step 5: Solve for x
    x = 42,722,385,164.16/286,421.12
  6. Step 6: Final answer
    x = 149,159.34

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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.