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Finding the Fourth Proportional to 287,455.77, 431,246.77 and 85,036.03

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Solution

The fourth proportional to 287,455.77, 431,246.77 and 85,036.03 is: 127,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,455.77 : 431,246.77 = 85,036.03 : x
  2. Step 2: Convert to fraction form
    287,455.77/431,246.77 = 85,036.03/x
  3. Step 3: Cross multiply
    287,455.77x = 431,246.77 × 85,036.03
  4. Step 4: Simplify right side
    287,455.77x = 36,671,511,980.42
  5. Step 5: Solve for x
    x = 36,671,511,980.42/287,455.77
  6. Step 6: Final answer
    x = 127,572.71

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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.