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Finding the Fourth Proportional to 287,977.01, 431,963.69 and 98,345.88

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Solution

The fourth proportional to 287,977.01, 431,963.69 and 98,345.88 is: 147,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,977.01 : 431,963.69 = 98,345.88 : x
  2. Step 2: Convert to fraction form
    287,977.01/431,963.69 = 98,345.88/x
  3. Step 3: Cross multiply
    287,977.01x = 431,963.69 × 98,345.88
  4. Step 4: Simplify right side
    287,977.01x = 42,481,848,729.37
  5. Step 5: Solve for x
    x = 42,481,848,729.37/287,977.01
  6. Step 6: Final answer
    x = 147,518.20

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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.