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Finding the Fourth Proportional to 287,422.94, 431,201.20 and 97,884.95

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Solution

The fourth proportional to 287,422.94, 431,201.20 and 97,884.95 is: 146,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,422.94 : 431,201.20 = 97,884.95 : x
  2. Step 2: Convert to fraction form
    287,422.94/431,201.20 = 97,884.95/x
  3. Step 3: Cross multiply
    287,422.94x = 431,201.20 × 97,884.95
  4. Step 4: Simplify right side
    287,422.94x = 42,208,108,612.87
  5. Step 5: Solve for x
    x = 42,208,108,612.87/287,422.94
  6. Step 6: Final answer
    x = 146,850.17

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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.