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Finding the Fourth Proportional to 286,509.13, 429,961.13 and 99,520.63

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Solution

The fourth proportional to 286,509.13, 429,961.13 and 99,520.63 is: 149,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,509.13 : 429,961.13 = 99,520.63 : x
  2. Step 2: Convert to fraction form
    286,509.13/429,961.13 = 99,520.63/x
  3. Step 3: Cross multiply
    286,509.13x = 429,961.13 × 99,520.63
  4. Step 4: Simplify right side
    286,509.13x = 42,790,002,533.11
  5. Step 5: Solve for x
    x = 42,790,002,533.11/286,509.13
  6. Step 6: Final answer
    x = 149,349.53

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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.