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Finding the Fourth Proportional to 287,444.17, 431,133.45 and 77,065.75

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Solution

The fourth proportional to 287,444.17, 431,133.45 and 77,065.75 is: 115,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,444.17 : 431,133.45 = 77,065.75 : x
  2. Step 2: Convert to fraction form
    287,444.17/431,133.45 = 77,065.75/x
  3. Step 3: Cross multiply
    287,444.17x = 431,133.45 × 77,065.75
  4. Step 4: Simplify right side
    287,444.17x = 33,225,622,674.34
  5. Step 5: Solve for x
    x = 33,225,622,674.34/287,444.17
  6. Step 6: Final answer
    x = 115,589.83

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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.