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Finding the Fourth Proportional to 287,146.17, 429,966.77 and 202,447.80

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Solution

The fourth proportional to 287,146.17, 429,966.77 and 202,447.80 is: 303,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,146.17 : 429,966.77 = 202,447.80 : x
  2. Step 2: Convert to fraction form
    287,146.17/429,966.77 = 202,447.80/x
  3. Step 3: Cross multiply
    287,146.17x = 429,966.77 × 202,447.80
  4. Step 4: Simplify right side
    287,146.17x = 87,045,825,647.37
  5. Step 5: Solve for x
    x = 87,045,825,647.37/287,146.17
  6. Step 6: Final answer
    x = 303,141.17

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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.