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Finding the Fourth Proportional to 287,425.44, 431,204.95 and 97,887.45

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Solution

The fourth proportional to 287,425.44, 431,204.95 and 97,887.45 is: 146,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,425.44 : 431,204.95 = 97,887.45 : x
  2. Step 2: Convert to fraction form
    287,425.44/431,204.95 = 97,887.45/x
  3. Step 3: Cross multiply
    287,425.44x = 431,204.95 × 97,887.45
  4. Step 4: Simplify right side
    287,425.44x = 42,209,552,982.88
  5. Step 5: Solve for x
    x = 42,209,552,982.88/287,425.44
  6. Step 6: Final answer
    x = 146,853.92

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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.