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Finding the Fourth Proportional to 287,893.08, 431,845.08 and 98,396.88

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Solution

The fourth proportional to 287,893.08, 431,845.08 and 98,396.88 is: 147,597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,893.08 : 431,845.08 = 98,396.88 : x
  2. Step 2: Convert to fraction form
    287,893.08/431,845.08 = 98,396.88/x
  3. Step 3: Cross multiply
    287,893.08x = 431,845.08 × 98,396.88
  4. Step 4: Simplify right side
    287,893.08x = 42,492,208,515.35
  5. Step 5: Solve for x
    x = 42,492,208,515.35/287,893.08
  6. Step 6: Final answer
    x = 147,597.19

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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.