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Finding the Fourth Proportional to 287,988.56, 431,933.64 and 77,577.32

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Solution

The fourth proportional to 287,988.56, 431,933.64 and 77,577.32 is: 116,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,988.56 : 431,933.64 = 77,577.32 : x
  2. Step 2: Convert to fraction form
    287,988.56/431,933.64 = 77,577.32/x
  3. Step 3: Cross multiply
    287,988.56x = 431,933.64 × 77,577.32
  4. Step 4: Simplify right side
    287,988.56x = 33,508,254,209.04
  5. Step 5: Solve for x
    x = 33,508,254,209.04/287,988.56
  6. Step 6: Final answer
    x = 116,352.73

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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.